A general common fixed point theorem for a pair of mappings in S - metric spaces

Author:

Popa Valeriu1,Patriciu Alina-Mihaela2

Affiliation:

1. “Vasile Alecsandri” University of Bacău , 157 Calea Mărăşeşti, Bacău, 600115 , Romania

2. “Dunărea de Jos” University of Galaţi , Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences , 111 Domnească Street , Galaţi , , Romania

Abstract

Abstract The purpose of this paper is to prove a common fixed point theorem for a pair of mappings satisfying an implicit relation, generalizing the main results from [6], [10], [11], [13] and other papers.

Publisher

Walter de Gruyter GmbH

Reference13 articles.

1. [1] B. C. Dhage, Generalized metric space and mappings with fixed point, Bull. Calcutta Math. Soc., vol. 84, 1992, 329-336.

2. [2] B. C. Dhage, Generalized metric space and topological structures I, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Mat., vol. 46, no. 1, 2000, 3-20.

3. [3] N. V. Dung, N. T. Hieu, S. Radenović, Fixed point theorems for monotone maps on partially ordered S - metric spaces, Filomat, vol. 22, 2014, 1875-1892.10.1186/1687-1812-2014-110

4. [4] Z. Mustafa, B. Sims, Some remarks concerning D – metric spaces, Proc. Conf. Fixed Point Theory and Applications, Valencia (Spain), 2003, 189-198.

5. [5] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., vol. 7, 2006, 280-297.

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