Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
23 Sep 2014The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued mappings has also been attempted very recently by Dehaish and Kozlowski (Fixed Point Theory Appl. 2012:118, 2012). In this paper, we initiate the study of approximating fixed points by the convergence of a Mann iterative process applied on multivalued ρ-nonexpansive mappings in modular function spaces. Our results also generalize the corresponding results of (Dehaish and Kozlowski in Fixed Point Theory Appl. 2012:118, 2012) to the case of multivalued mappings.
| Authors: | Khan, Safeer Hussain, Abbas, Mujahid |
| Institution: | University of Pretoria |
| Keywords: | Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space, Fixed point, Multivalued ρ-nonexpansive mapping, Iterative process, Modular function space |