Fixed point results for Geraghty contractive type operators in uniform spaces

Document Type : Research Articles

Authors

1 Department of Mathematics, Faculty of Natural Sciences, University of Jos. Plateau State, Nigeria

2 Department of Mathematics, Faculty of Science, University of Lagos, Nigeria

3 Department of Mathematics Faculty of Science University of Lagos Akoka Lagos State Nigeria

Abstract

In this paper, we consider a generalization of $\alpha$-$\phi$-Geraghty contractive type operators and investigate the conditions for the existence and uniqueness of fixed point in a $S$-complete Hausdorff uniform space equipped with a $E$-distance. Our results extend, improve and generalize some related works in the literature. We illustrate the validity of the results with examples.

Keywords

Caspian Journal of Mathematical Sciences
Volume 11, Issue 1
2022
Pages 191-202

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