A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space
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Authors
Ali Erduran
- Department of Mathematics, Faculty of Arts and Sciences, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.
Z. Kadelburg
- Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia.
H. K. Nashine
- Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101 (Chhattisgarh), India.
C. Vetro
- Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy.
Abstract
In this paper, we explore (\(\varphi,L\))-weak contractions of Berinde by obtaining Suzuki-type fixed point results.
Thus, we obtain generalized fixed point results for Kannan's, Chatterjea's and Zamfirescu's mappings on a
0-complete partial metric space. In this way we obtain very general fixed point theorems that extend and
generalize several related results from the literature.
Share and Cite
ISRP Style
Ali Erduran, Z. Kadelburg, H. K. Nashine, C. Vetro, A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 3, 196--204
AMA Style
Erduran Ali, Kadelburg Z., Nashine H. K., Vetro C., A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space. J. Nonlinear Sci. Appl. (2014); 7(3):196--204
Chicago/Turabian Style
Erduran, Ali, Kadelburg, Z., Nashine, H. K., Vetro, C.. "A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space." Journal of Nonlinear Sciences and Applications, 7, no. 3 (2014): 196--204
Keywords
- (\(\varphi
- L\))-weak contraction
- partial metric
- 0-complete space
MSC
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