Some Generalizations of Prešić Type Mappings and Applications

Abstract

Abstract In this paper, we prove some common fixed point theorems for the mappings satisfying Prešić type contractive conditions in metric spaces. Our results generalize and extend the result of Prešić for some new type of contractive conditions. The common fixed point of mappings is approximated by a k-step iterative sequence. Some examples are provided to illustrate the results. An application of Prešić type mappings to second order difference equations is also given.