Abstract
AbstractIn this paper, we prove the existence and uniqueness of a fixed point for certainα-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We consider some examples to illustrate the usability of our results.MSC:46N40, 47H10, 54H25, 46T99.
Highlights
Fixed point theory is one of the outstanding subfields of nonlinear functional analysis
The fixed point technique suggested by Banach attracted many researchers to solve various concrete problems
We show that f is an α-admissible mapping
Summary
Fixed point theory is one of the outstanding subfields of nonlinear functional analysis. In Banach [ ] proved that in a complete metric space every contraction has a unique fixed point. The Banach fixed point theorem has attracted great attention of authors since (see, e.g., [ – ]).
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