Coincidence and invariant approximation theorems for generalizedf-nonexpansive multivalued mappings

Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings

The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f -nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantia...

Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

In this paper, we establish the existence of a fixed point for generalized nonexpansive multivalued mappings in hyperbolic spaces and we prove some [Formula: see text]-convergence and strong convergence theorems for the iterative scheme proposed by Chang et al. (Appl Math Comp 249:535-540, 2014) to approximate a fixed point for generalized nonexpansive multivalued mapping under suitable conditi...

Invariant Approximation for Fuzzy Nonexpansive Mappings

We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all t-best approximations to contain a fixed point of arbitrary mappings. A ...

On Multivalued Nonexpansive Mappings in ℝ-Trees

Geodesic metric spaces and generalized nonexpansive multivalued mappings

In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...