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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS

Bhavana Deshpande|Amrish Handa|Shamim Ahmad Thoker
영남수학회 (Youngnam Mathematical Society)|2016.05|East Asian Mathematical Journal|제32권 제3호|pp. 333-354|DOI http://dx.doi.org/10.7858/eamj.2016.025

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참고문헌

키워드

Coincidence pointcoupled coincidence pointgeneralized non- linear contractionpartially ordered metric spaceO-compatiblegeneralized compatibilityg-non-decreasing mappingmixed monotone mappingcommuting mapping
주제분류수학

초록

We present coincidence point theorem for g-non-decreasing mappingssatisfying generalized nonlinear contraction on partially ordered metricspaces. We show how multidimensional results can be seen as simpleconsequences of our unidimensional coincidence point theorem. We also obtainthe coupled coincidence point theorem for generalized compatible pair ofmappings F, G : X2 → X by using obtained coincidence pointresults. Furthermore, an example and an application to integral equation arealso given to show the usability of obtained results. Our resultsgeneralize, modify, improve and sharpen several well-known results.

Abstract

We present coincidence point theorem for g-non-decreasing mappingssatisfying generalized nonlinear contraction on partially ordered metricspaces. We show how multidimensional results can be seen as simpleconsequences of our unidimensional coincidence point theorem. We also obtainthe coupled coincidence point theorem for generalized compatible pair ofmappings F, G : X2 → X by using obtained coincidence pointresults. Furthermore, an example and an application to integral equation arealso given to show the usability of obtained results. Our resultsgeneralize, modify, improve and sharpen several well-known results.

참고문헌 (27)

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