Coupled fixed point theorems with respect to binary relations in metric spaces | Zendy

Mohammad Sadegh Asgari | Zendy; Baharak Mousavi | Zendy

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Coupled fixed point theorems with respect to binary relations in metric spaces

Author(s) -

Mohammad Sadegh Asgari,

Baharak Mousavi

Publication year - 2015

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.008.02.07

Subject(s) - mathematics , metric space , binary relation , fixed point theorem , binary number , fixed point , pure mathematics , metric (unit) , discrete mathematics , mathematical analysis , arithmetic , operations management , economics

In this paper we present a new extension of coupled fixed point theorems in metric spaces endowed with a reflexive binary relation that is not necessarily neither transitive nor antisymmetric. The key feature in this coupled fixed point theorems is that the contractivity condition on the nonlinear map is only assumed to hold on elements that are comparable in the binary relation. Next on the basis of the coupled fixed point theorems, we prove the existence and uniqueness of positive definite solutions of a nonlinear matrix equation. c ©2015 All rights reserved.

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