Existence of common fixed point for b-metric rational type contraction

Abstract

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.http://www.pmf.ni.ac.rs/filomatam2017Mathematics and Applied Mathematic

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