Document Type : Research Paper
Authors
- Nihal Taş ^{} ^{} ^{1}
- Nihal Yilmaz Ozgur ^{} ^{2}
^{1} Department of Mathematics, Bali kesir University, 10145, Bali kesir, Turkey.
^{2} Department of Mathematics, Bali kesir University, 10145 Bali kesir, Turkey.
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.
Keywords
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