On the extended multivalued Geraghty type contractions
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Authors
Hojjat Afshari
- Faculty of Basic Science, University of Bonab, Bonab, Iran.
Hamed H. Alsulami
- Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia.
Erdal Karapinar
- Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey.
Abstract
In this paper we present some absolute retract results for modified Geraghty multivalued type contractions in b-metric space. Our results, generalize several existing results in the corresponding literature. We
also present some examples to support the obtained results.
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ISRP Style
Hojjat Afshari, Hamed H. Alsulami, Erdal Karapinar, On the extended multivalued Geraghty type contractions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4695--4706
AMA Style
Afshari Hojjat, Alsulami Hamed H., Karapinar Erdal, On the extended multivalued Geraghty type contractions. J. Nonlinear Sci. Appl. (2016); 9(6):4695--4706
Chicago/Turabian Style
Afshari, Hojjat, Alsulami, Hamed H., Karapinar, Erdal. "On the extended multivalued Geraghty type contractions." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4695--4706
Keywords
- Fixed points
- extended multivalued Geraghty type contractions.
MSC
References
-
[1]
H. Afshari, Sh. Rezapour, Absolute retractivity of some sets to two-variables multifunctions, Anal. Theory Appl., 28 (2012), 73--78
-
[2]
H. Afshari, Sh. Rezapour, N. Shahzad, Absolute retractivity of the common fixed points set of two multifunctions, Topol. Methods Nonlinear Anal., 40 (2012), 429--436
-
[3]
H. Afshari, Sh. Rezapour, N. Shahzad, Some results on absolute retractivity of the fixed points set of KS- multifunctions, Math. Slovaca, 65 (2015), 1509--1516
-
[4]
M. C. Alicu, O. Mark, Some properties of the fixed points set for multifunctions, Studia Univ. Babe-Bolyai Math., 25 (1980), 77--79
-
[5]
H. Aydi, M. F. Bota, E. Karapinar, S. Moradi, A common fixed point for weak \(\phi\)-contractions on b-metric spaces, Fixed Point Theory, 13 (2012), 337--346
-
[6]
S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5--11
-
[7]
S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena, 46 (1998), 263--276
-
[8]
M. Kikkawa,T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal., 69 (2008), 2942--2949
-
[9]
M. Kikkawa,T. Suzuki, Some similarity between contractions and Kannan mappings, Fixed Point Theory and Appl., 2008 (2008), 8 pages
-
[10]
B. Ricceri, Une propriété topologique de l'ensemble des points fixes d'une contraction multivoque á valeurs convexes (French), Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 81 (1987), 283--286
-
[11]
B. Samet, C. Vetro, P. Vetro, Fixed point theorems for \(\alpha-\psi\)-contractive type mappings, Nonlinear Anal., 75 (2012), 2154--2165
-
[12]
H. Schirmer, Properties of the fixed point set of contractive multifunctions, Canad. Math. Bull., 13 (1970), 169--173
-
[13]
A. Sîntămărian, A topological property of the common fixed points set of two multivalued operators satisfying a Latif-Beg type condition, Fixed Point Theory, 9 (2008), 561--573
-
[14]
A. Sîntămărian, A topological property of the common fixed points set of two multivalued operators, Nonlinear Anal., 70 (2009), 452--456
-
[15]
T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 136 (2008), 1861--1869
-
[16]
T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl., 340 (2008), 1088--1095