Common Fixed Point Results on Complex-Valued $S$-Metric Spaces

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Tas Nihal; Yilmaz Ozgur Nihal

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:2 Page(s): 83-105

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Information Journal Paper

Title

Common Fixed Point Results on Complex-Valued $S$-Metric Spaces

Author(s)

Tas Nihal | Yilmaz Ozgur Nihal | Issue Writer Certificate

Keywords

$S$-metric space

Fixed point theorem

Common fixed point theorem

Complex valued $S$-metric space

Abstract

Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems using different techniques by means of new generalized contractive conditions and the notion of the closed ball. Our results generalize and improve some known fixed point results. We provide some illustrative examples to show the validity of our definitions and fixedpoint theorems.

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