[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.22771/nfaa.2021.26.01.02

COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ - ϕ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS

Saluja, G.S. (Department of Mathematics, Govt. Kaktiya P. G. College Jagdalpur)
Kim, J.K. (Department of Mathematics Education, Kyungnam University)
Lim, W.H. (Department of Mathematics Education, Kyungnam University)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.1, 2021 , pp. 13-33 More about this Journal

Abstract

The aim of this paper is to establish common fixed point theorems under generalized (ψ - ϕ)-weak contractions in the setting of complete S-metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.

Keywords

Common fixed point; generalized ( ${\psi}$ - ${\phi}$ )-weak contraction; S-metric space;

Citations & Related Records

Reference

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