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

1
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2
Department of Mathematics, Integral University, Lucknow 226026, India
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(2), 49; https://doi.org/10.3390/axioms8020049
Received: 11 March 2019 / Revised: 17 April 2019 / Accepted: 18 April 2019 / Published: 24 April 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
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. View Full-Text
Keywords: common fixed point; binary relation; preserving mapping; (ϕg, R )-contraction; partial ordering common fixed point; binary relation; preserving mapping; (ϕg, R )-contraction; partial ordering
MDPI and ACS Style

Perveen, A.; Khan, I.A.; Imdad, M. Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application. Axioms 2019, 8, 49.

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