A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space


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.


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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


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