A new approach to fixed point theorems for multivalued contractive maps

Abstract

In the present paper, considering the Wardowski’s technique we give many fixed point results for multivalued maps on complete metric space without using the Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu’s result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

On F-Contractions: A Survey

“…Klim and Wardowski [99] extend the concept of F-contractive mappings to the case of nonlinear F-contractions and prove a fixed point theorem via dynamic processes. Fixed point results for multivalued maps on complete metric spaces without using the Hausdorff metric are presented in [100,101]. Some Wardowski-Feng-Liu type fixed point theorems for multivalued mappings in complete (ordered) metric spaces are presented in [102].…”