Asian Journal of Mathematics and Computer Research

A FIXED POINT THEOREM IN B-METRIC SPACES AND ITS APPLICATION TO LINEAR INTEGRAL EQUATION

TAIEB HAMAIZIA *

Department of Mathematics, Larbi Ben M' Hidi University, Oum-El-Bouaghi, 04000, Algeria.

ABDELKRIM ALIOUCHE

Department of Mathematics, Larbi Ben M' Hidi University, Oum-El-Bouaghi, 04000, Algeria.

*Author to whom correspondence should be addressed.

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Abstract

In this article, we give a fixed point theorem for set-value quasi-contraction maps in b-metric spaces. This theorem generalize the theorem 1.1 of [1].

Keywords: Fixed point theorem, b-metric space, Linear integral equation

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