Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

摘要

We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an α-ψ-type contractive mapping and then for a generalized β-type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.