Relation Theoretic (Θ,R) Contraction Results with Applications to Nonlinear Matrix Equations
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia
Author to whom correspondence should be addressed.
Received: 19 October 2018 / Revised: 8 November 2018 / Accepted: 21 November 2018 / Published: 18 December 2018
Using the concept of binary relation
we initiate a notion of
-contraction and obtain some fixed point results for such mappings in the setting of complete metric spaces. Furthermore, we establish some new results of fixed points of N
-order. Consequently, we improve and generalize the corresponding known fixed point results. As an application of our main result, we provide the existence of a solution for a class of nonlinear matrix equations. A numerical example is also presented to illustrate the theoretical findings.
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MDPI and ACS Style
Al-Sulami, H.H.; Ahmad, J.; Hussain, N.; Latif, A. Relation Theoretic (Θ,R) Contraction Results with Applications to Nonlinear Matrix Equations. Symmetry 2018, 10, 767.
Al-Sulami HH, Ahmad J, Hussain N, Latif A. Relation Theoretic (Θ,R) Contraction Results with Applications to Nonlinear Matrix Equations. Symmetry. 2018; 10(12):767.
Al-Sulami, Hamed H.; Ahmad, Jamshaid; Hussain, Nawab; Latif, Abdul. 2018. "Relation Theoretic (Θ,R) Contraction Results with Applications to Nonlinear Matrix Equations." Symmetry 10, no. 12: 767.
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