[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2018.001

APPLICATION OF FIXED POINT THEOREM FOR UNIQUENESS AND STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS

GUPTA, ANIMESH (Barkatullah university)
MAITRA, Jitendra Kumar (Rani Durgawati University)
RAI, VANDANA (Department of Management Studies, Indian Institute of Technology Madras)

Publication Information

Journal of applied mathematics & informatics / v.36, no.1_2, 2018 , pp. 1-14 More about this Journal

Abstract

In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized coupled Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aim in Banach space $$X=C([a,b$ $]$ $,{\mathbb{R}})$$ . As application we study some volterra integral equations with linear, nonlinear and single kernel.

Keywords

Nonlinear functional-integral equation; Hyers-Ulam stability; iterative method; fixed point theorem;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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