Existence and convergence theorems for Berinde nonexpansive multivalued mapping on Banach spaces

Abstract

© 2019, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature. In this paper, we first prove existence of fixed points for Berinde nonexpansive multivalued mappings on Banach spaces. Moreover, we obtain convergence theorems for common fixed point of Berinde and quasi-nonexpansive mappings. The main results obtained in this paper extened and generalize some of the well-known results in the literature.