Cyclic ( ϕ )-Contractions in Uniform Spaces and Related Fixed Point Results

Abstract

First, we define cyclic ($\varphi$)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic ($\varphi$)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.