Invariant point theorems with PPF dependence for some contractions

Abstract

In this paper, some results are concerning the existence and uniqueness of invariant point with PPF dependence of a non linear mapping for  contraction and  Suzuki contraction in the complete metric space and setting of complete metric spaces. The new feature of this work is that the domain and range space of operator are not identical in question. The results provided in this research are on PPF dependent invariant points which are broaden and expand invariant point results by Mohamed Jleli and Bassem Samet [6] and Dingwei Zheng, Zhangyong Cai and Pei Wang [5].