Abstract
Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.
Highlights
Introduction and PreliminariesThe celebrated Banach contraction principle is a motivation for many fixed-point theorems
F-contraction and fixed-point theorem for F-contraction mappings were introduced by Wardowski [8] as a generalisation of the Banach contraction principle
It is interesting to note that all these contraction conditions ensure the existence of a unique fixed point or common fixed point of the mappings under consideration
Summary
Introduction and PreliminariesThe celebrated Banach contraction principle is a motivation for many fixed-point theorems. It is interesting to note that all these contraction conditions ensure the existence of a unique fixed point or common fixed point of the mappings under consideration.
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