New fixed point theorems on b-metric spaces with applications to coupled fixed point theory

descriptionPublicationkeyboard_double_arrow_right Article 13 Aug 2020 English Publisher:Springer Science and Business Media LLCJournal:Journal of Fixed Point Theory and Applications, volume 22 (issn: 1661-7738, eissn: 1661-7746,

Authors: Monica-Felicia Bota; Liliana Guran; Adrian Petruşel;

doi: 10.1007/s11784-020-00808-2

New fixed point theorems on b-metric spaces with applications to coupled fixed point theory

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Abstract

Let (X, d) be a complete b-metric space endowed with a partial order relation and $$f:X\rightarrow X$$ be a Ciric type operator. In this paper, an extended study of the fixed point equation $$x=f(x), \ x\in X$$ , is considered. As an application, coupled fixed point results are given in the same framework. Our results generalize some recent theorems in the literature.

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