Common Fixed Point Results on Complex-Valued $S$-Metric Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 2)Publication Date: 2020-06-01
Authors : Nihal Taş; Nihal Yilmaz Ozgur;
Page : 83-105
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 fixed
point theorems.
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Last modified: 2020-06-16 17:03:39