Fixed point results for Geraghty contractive type operators in uniform spaces

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:

alpha-phi-Geraghty contractive type operator , generalized alpha-phi-Geraghty contractive type operator , Fixed point , uniform spaces