Common Fixed Point Results for Family of Generalized Multivalued F-contraction Mappings in Ordered Metric Spaces

TL;DR

This paper establishes new common fixed point theorems for families of multivalued mappings satisfying generalized F-contractive conditions within ordered metric spaces, expanding fixed point theory in this context.

Contribution

It introduces generalized F-contractive conditions for multivalued mappings and proves common fixed point theorems in ordered metric spaces, broadening existing fixed point results.

Findings

Established existence of common fixed points under generalized F-contractive conditions.

Extended fixed point theorems to families of multivalued mappings in ordered metric spaces.

Provided new conditions that ensure fixed point existence in complex mapping families.

Abstract

In this paper, we study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems for family of multivalued maps.