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

Abstract

In this paper, by introducing the concept of generalized Ćirić-type weak ( ϕ 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.

Keywords

• common fixed point
• binary relation
• preserving mapping
• R )-contraction%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> (<i>ϕ</i>_g, <named-content content-type="equation"><inline-formula> <mml:math id="mm211111" display="block"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="script">R</mml:mi> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content>)-contraction
• partial ordering