Fixed Point Theorem for Multivalued Non-self Mappings in Partial Symmetric Spaces

Abstract

In this paper, we proved a fixed point theorem for multi-valued non-self mappings in partial symmetric spaces. In doing so, we extended and generalized the results in literature by employing a convex structure for multi-valued non-self mappings using Rhoades type contractions. We also provided an illustrative example to support the results.

Fixed point theorems for extended interpolative multi-valued non-self mappings in b-metric space with some application

“…Altun and Minak [7] proved an extension of Assad-Kirk's fixed point theorem for multivalued non-self mappings. Wangwe and Kumar [52] Fixed point theorem for multivalued non-self mappings in partial symmetric spaces. Altun et al [8] proved the multi-valued non-self almost F -contractions in metric space.…”