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-  2019 

Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application

DOI: https://doi.org/10.3390/axioms8020049

Keywords: common fixed point, binary relation, preserving mapping, (?g, R )-contraction, partial ordering

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Abstract:

Abstract In this paper, by introducing the concept of generalized ?iri?-type weak ( ? g , R ) -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation R . We also deduce some useful consequences showing the usability of our results. Finally, we present an application to establish the solution of a system of integral equations. View Full-Tex

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