]>
2009
2
4
ISSN 2008-1898
65
COMMON FIXED POINT THEOREMS IN CONE METRIC SPACES
COMMON FIXED POINT THEOREMS IN CONE METRIC SPACES
en
en
We obtain sufficient conditions for existence of points of coincidence
and common fixed points of three self mappings satisfying a contractive
type conditions in cone metric spaces. Our results generalize several well-known
recent results.
204
213
AKBAR
AZAM
Department of Mathematics F. G. Postgraduate College, H-8, Islamabad, 44000, Pakistan.
MUHAMMAD
ARSHAD
Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, H-10, Islamabad, 44000, Pakistan.
ISMAT
BEG
Centre for Advanced Studies in Mathematics,Lahore University of Management Sciences, 54792-Lahore, Pakistan
Point of coincidence
common fixed point
contractive type mapping
commuting mapping
compatible mapping
cone metric space.
Article.1.pdf
[
[1]
M. Abbas, G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341 (2008), 416-420
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I. Beg, M. Abbas, Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory Appl., 2006 (2006), 1-7
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K. Deimling, Nonlinear Functional Analysis,, Springer Verlag, (1985)
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G. E. Hardy, T. D. Roggers, A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16 (1973), 201-206
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L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal.Appl., 332 (2007), 1468-1476
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D. Ilic, V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341 (2008), 876-882
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G. Jungck, Commuting maps and fixed points, Amer. Math. Monthly, 83 (1976), 261-263
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G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9 (1986), 771-779
##[9]
G. Jungck, Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc., 103 (1988), 977-983
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G. Jungck, Common fixed points for noncontinous nonself maps on non-metric spaces, Far East J. Math. Sci., 4 (1996), 199-215
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G. Jungck, B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math., 29 (1998), 227-238
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R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl., 188 (1994), 436-440
##[13]
S. Rezapour, R. Hamlbarani, Some notes on paper ''Cone metric spaces and fixed point theorems of contractive mappings.'', J. Math. Anal. Appl. , 345 (2008), 719-724
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S. Reich, Some remarks concerning contraction mappings, Canad. Math. Bull., 14 (1971), 121-124
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B. E. Rhoads, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 26 (1977), 257-290
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S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math., 32 (1982), 149-153
##[17]
P. Vetro, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo, 56 (2007), 464-468
]
COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS
COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS
en
en
In this paper, by virtue of some analysis techniques, we prove a new common
fixed point theorem of Altman type for four mappings satisfying a contractive condition of
integral type in complete metric spaces, which improves and extends several previous results
obtained by others.
214
218
YAQIONG
LI
Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
FENG
GU
Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
Altman type mapping
Common fixed point
Compatible mappings
Contractive condition of integral type.
Article.2.pdf
[
[1]
A. Aliouche, Common fixed point theorems for hybrid mappings satisfying generalized contractive conditions, J. Nonlinear Sci. Appl., 2 (2009), 136-145
##[2]
M. Altman, A fixed point theorem in compact metric spaces, Amer. Math. Monthly, 82 (1975), 827-829
##[3]
J. Chen, F. Gu, The common fixed point theorems satisfying a contractive condition of integral type, Natural Science Edition, Journal of Hangzhou Normal University, 7 (2008), 338-344
##[4]
A. Garbone, S. P. Singh, Common fixed point theorem for Altman type mappings, Indian J. Pure Appl. Math., 18 (1987), 1082-1087
##[5]
F. Gu, B. Deng, Common fixed point for Altman type mappings, Natural Science Edition, Journal of Harbin Normal University, 17 (2001), 44-46
##[6]
G. Jungck, Compatible mappings and common fixed points, Internat J. Math. Math. Sci., 9 (1986), 771-779
##[7]
Z. Liu, On common fixed points of Altman type mappings, Natural Science Edition, Journal of Liaoning University, 16 (1993), 1-4
##[8]
R. P. Pant, Common fixed points of noncommuting mapping, J. Math. Anal. Appl., 188 (1994), 436-440
##[9]
S. Sessa, On a weak commutitivity condition of mappings in fixed point considerations, Publ. Inst. Math., 32 (1982), 149-153
]
CERTAIN SUBCLASSES OF CONVEX FUNCTIONS WITH POSITIVE AND MISSING COEFFICIENTS BY USING A FIXED POINT
CERTAIN SUBCLASSES OF CONVEX FUNCTIONS WITH POSITIVE AND MISSING COEFFICIENTS BY USING A FIXED POINT
en
en
By considering a fixed point in unit disk \(\Delta\), a new class of univalent
convex functions is defined. Coefficient inequalities, integral operator and
extreme points of this class are obtained.
219
224
SH.
NAJAFZADEH
Department of Mathematics, Faculty of Science,, University of Maragheh, Maragheh, Iran
A.
EBADIAN
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
M. ESHAGHI
GORDJI
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Subordination
P-valent function
Coefficient estimate
Fixed point
Distortion bound
Convexity.
Article.3.pdf
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[1]
F. Ghanim, M. Darus, On new subclass of analytic univalent function with negative coefficient I, Int. J. Contemp. Math. Sciences,, 27 (2008), 1317-1329
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, Some subordination results associated with certain subclass of analytic meromorphic function, J. Math. and statistics, 4(2) (2008), 112-116
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F. Ghanim, M. Darus, S. Sivasubramanian, On subclass of analytic univalent function, Int. J. pure Appl., 40 (2007), 307-319
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A .W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl., 155 (1991), 364-370
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, On uniformaly convex functions, Ann. polon. Math., 56 (1991), 87-92
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Sh. Najafzadeh, A. Tehranchi, S. R. Kulkarni, Application of differential operator on p-valent meromorphic functions, Anal. Univ. oradea, Fasc. Math., 12 (2005), 75-90
]
P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES
P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES
en
en
The concepts of P-compactness, countable P-compactness, the P-Lindelöf property
are introduced in \(L\)-topological spaces by means of preopen \(L\) -sets and their inequalities
when \(L\) is a complete DeMorgan algebra. These definitions do not rely on the structure of
the basis lattice \(L\) and no distributivity in \(L\) is required. They can also be characterized by
means of preclosed L-sets and their inequalities. Their properties are researched. Further
when \(L\) is a completely distributive DeMorgan algebra, their many characterizations are
presented.
225
233
FU-GUI
SHI
Fu-Gui Shi, Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China
L-topology
fuzzy compactness
P-compactness
countable P-compactness
PLindelöf property.
Article.4.pdf
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C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190
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P. Dwinger, Characterizations of the complete homomorphic images of a completely distributive complete lattice I, Indagationes Mathematicae (Proceedings), 85 (1982), 403-414
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F.-G. Shi, A new definition of fuzzy compactness, Fuzzy Sets and Systems, 158 (2007), 1486-1495
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G.-J. Wang, Theory of L-fuzzy topological space, Shaanxi Normal University Press, Xi’an, Chinese (1988)
]
GENERALIZATION SOME FUZZY SEPARATION AXIOMS TO DITOPOLOGICAL TEXTURE SPACES
GENERALIZATION SOME FUZZY SEPARATION AXIOMS TO DITOPOLOGICAL TEXTURE SPACES
en
en
The authors characterize the notion of quasi coincident in texture
spaces and study the generalization of fuzzy quasi separation axioms defined
by [12] to the ditopological texture spaces.
234
242
RIZA
ERTÜRK
Department of Mathematics, University of Hacettepe, 06800 Beytepe, Ankara, Turkey.
ŞENOL
DOST
Department of Secondary Science and Mathematics Education, University of Hacettepe , 06800 Beytepe, Ankara, Turkey.
SELMA
ÖZÇAG
Department of Mathematics, University of Hacettepe, 06800 Beytepe, Ankara, Turkey.
Quasi coincident
Quasi separation axiom
Ditopology
Article.5.pdf
[
[1]
L. M. Brown, Ditopological fuzzy structures I, Fuzzy Systems a A. I M. 3 (1), (1993)
##[2]
L. M. Brown, Ditopological fuzzy structures II, Fuzzy Systems a A. I M. 3 (2), (1993)
##[3]
L. M. Brown, Quotients of textures and of ditopological texture spaces, Topology Proceedings, 29 (2) (2005), 337-368
##[4]
L. M. Brown, M. Diker, Ditopological texture spaces and intuitionistic sets, Fuzzy sets and systems, 98 (1998), 217-224
##[5]
L. M. Brown, R. Ertürk, Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems, 110 (2) (2000), 227-236
##[6]
L. M. Brown, R. Ertürk, Fuzzy sets as texture spaces, II. Subtextures and quotient textures, Fuzzy Sets and Systems, 110 (2) (2000), 237-245
##[7]
L. M. Brown, R. Ertürk, Ş. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems, 147 (2) (2004), 171-199
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L. M. Brown, R. Ertürk, Ş. Dost, Ditopological texture spaces and fuzzy topology, II. Topological Considerations, Fuzzy Sets and Systems, 147 (2) (2004), 201-231
##[9]
L. M. Brown, R. Ertürk, Ş. Dost, Ditopological texture spaces and fuzzy topology, III. Separation Axioms, Fuzzy Sets and Systems, 157 (14) (2006), 1886-1912
##[10]
L. M. Brown, M. Gohar, Compactness in ditopological texture spaces, Hacettepe J. Math. and Stat., V., 38(1) (2009), 21-43
##[11]
M. Demirci, Textures and C-spaces, Fuzzy Sets and Systems, 158 (11) (2007), 1237-1245
##[12]
M. H. Ghanim, O. A. Tantawy, Fawzia M. Selim, On lower separation axioms, Fuzzy Sets and Systems, 85 (1997), 385-389
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G. Gierz, K. H. Hofmann, D. Keimel, J. Lawson, M. Mislove, D. Scott, A compendium of continuous lattices, Springer–Verlag, Berlin, Heidelberg, New York (1980)
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B. Hutton, I. Reilly, Separation axioms in fuzzy topological spaces, Fuzzy Sets and Systems, 3 (1980), 93-104
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P. Pao Ming, L. Ying Ming, Fuzzy topology I, neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math.Anal. Appl., 76 (1980), 571-599
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S. Özçağ, L. M. Brown, Dicompletion of plain diuniformities, Topology and its Applications, (submitted), -
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I. Tiryaki, L. M. Brown, Plain textures and fuzzy sets over a poset, , (preprint), -
]
ON SOME NEW EMBEDDING THEOREMS FOR SOME ANALYTIC CLASSES IN THE UNIT BALL
ON SOME NEW EMBEDDING THEOREMS FOR SOME ANALYTIC CLASSES IN THE UNIT BALL
en
en
We provide new sharp embedding theorems for analytic classes in unit ball
expanding at the same time some previously known assertions.
243
250
ROMI
SHAMOYAN
Department of Mathematics, Erevan State University , Armenia.
MEHDI
RADNIA
Department of Mathematics, Tabriz University, Tabriz, Iran.
Area operator
Bergman metric
Bergman metric ball
Carleson measure
Hardy class
nonisotropic ball.
Article.6.pdf
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[1]
A. B. Alexandrov, Function Theory in the Ball, in Several Complex Variables II, Springer, New York (1994)
##[2]
C. Cascante, J. Ortega, Carleson measures on spaces of Hardy-Sobolev type, Canad. J. Math, 47(6) (1995), 1177-1200
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C. Cascante, J. Ortega, On q-Carleson measures for spaces of M-harmonic functions, Canad. J. Math., 49 (4) (1997), 653-674
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C. Cascante, J. Ortega, Imbedding potentials in tent spaces, J. Funct. Anal., 198 (1) (2003), 106-141
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W. S. Cohn, Generalized area operators on Hardy spaces, J Math Anal Appl., 216 (1) (1997), 112-121
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J. Ortega, J. Fàbrega, Hardys inequality and embeddings in holomorphic Triebel-Lizorkin spaces, Illinois J. Math., 43 (4) (1999), 733-751
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J. Ortega, J. Fàbrega, Holomorphic Triebel-Lizorkin spaces, J. Funct. Anal., 151 (1) (1997), 177-212
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W. Rudin, Function Theory in the Unit Ball of \(\mathbb{C}^{n}\), Springer-Verlag, New York (1980)
##[9]
R. Shamoyan, O. Mihic, On some properties of holomorphic spaces based on Bergman metric ball and Luzin area operator, J. Nonlinear Sci. Appl., 2 (3) (2009), 183-194
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Z. Wu, Area operators on Bergman space, Sci.China Series A., 36(5) (2006), 481-507
##[11]
K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer Verlag, New York (2005)
]
Stability of an additive-quadratic functional equation of two variables in \(F\)-spaces
Stability of an additive-quadratic functional equation of two variables in \(F\)-spaces
en
en
251
259
M.
Eshaghi Gordji
Stability
functional equation
Article.7.pdf
[
]
CONVERGENCE THEOREMS FOR THE ZEROS OF A FINITE FAMILY OF GENERALIZED ACCRETIVE OPERATORS
CONVERGENCE THEOREMS FOR THE ZEROS OF A FINITE FAMILY OF GENERALIZED ACCRETIVE OPERATORS
en
en
A strong convergence theorem for the common zero for a finite family of Generalized
Lipschitz operators in a uniformly smooth Banach space is proved when atleast one
of the operator is Generalized \(\Phi\)- accretive, using a new iteration formula. Similar result
for Generalized Lipschitz and Generalized \(\Phi\)- pseudocontractive map is also proved. Our
result extends the convergence results of Chidume [4] to a finite family improving many
other results.
260
269
N.
GURUDWAN
School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur - 492010 (C.G.), India
B. K.
SHARMA
School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur - 492010 (C.G.), India
Generalized \(\Phi\)-accretive
generalized Lipschitz
uniformly smooth Banach space
mann iteration.
Article.8.pdf
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F. E. Browder, Nonlinear mappings of nonexpansive and accretive type in Banach space, Bull. Amer. Math. Soc., 73 (1967), 875-882
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F. E. Browder, W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl.,, 20 (1967), 197-228
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C. E. Chidume, C. O. Chidume, Convergence theorems for zeros of generalized Lipschitz generalized \(\Phi\)-quasi accretive operators, Proc. Amer. Math. Soc., 134 (2006), 243-251
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H. Hirano, Z. Huang, Convergence theorems for multi-valued \(\phi\)-hemicontractive operators and - strongly accretive operators, Comp. Math. Appl., 46 (2003), 1461-1471
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J. S. Jung, Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces, J. Math. Anal. Appl., 302 (2005), 509-520
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R. De Marr, Common fixed points for commuting contraction mappings, Pacific J. Math., 53 (1974), 487-493
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L. C. Zhao, S. S. Chang , Strong convergence theorems for equilibrium problems and fixed point problems, J. Nonlinear Sci. Appl., 2 (2009), 78-91
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]