Fixed Point Theorems for Suzuki Generalized Nonexpansive Multivalued Mappings in Banach Spaces

By Ali Abkar, M. Eslamian. 2010

53 citations recorded by the source corpus.

In the first part of this paper, we prove the existence of common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach space. In this way, we generalize the result of Dhompongsa et al. (2006). In the second part of this paper, we prove a fixed point theorem for upper semicontinuous mappings satisfying the Suzuki condition in strictly spaces; our result generalizes a recent result of Domínguez-Benavides et al. (2009).

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/604c5f78d02625d778a59f4bec52c7496838016f

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In Applied Mathematics

1. Ali Abkar
2. M. Eslamian

In Computational Theory and Mathematics

1. Ali Abkar
2. M. Eslamian

In Geometry and Topology

1. Ali Abkar
2. M. Eslamian

Citations in the corpus

• Common fixed point results in CAT(0) spaces (2011, background): “Very recently, the current authors used a modified Suzuki condition for multivalued mappings, and proved some fixed point theorems for multivalued mappings satisfying this condition in Banach spaces [10,11].”