2015•Nonlinear functional analysis and applicationsRequires access

FIXED POINT RESULTS IN S-METRIC SPACES

Shaban Sedghı, Nabi Shobe, Tatjana Došenović

Abstract

In this paper, the notion of S-metric spaces will be introduced. We present a coupled coincidence point theorems for multi-valued maps on complete S-metric spaces using mixed g-monotone mappings. The single-valued case and an illustrative example are given. Using a similar method as in [4] a common fixed point theorem for three single-valued mappings is obtained in S-metric spaces.

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Key concepts: Mathematics, Metric space, Coincidence point, Monotone polygon, Fixed-point theorem, Convex metric space, Discrete mathematics, Metric (unit)