Iterative method for approximating a common fixed point for family of multi-valued generalized Hemi-contractive nonself mappings

Abstract

In this paper, authors construct cyclic Ishikawa type iterative method for a finite family of multi-valued non-self and L-Lipschitz Hemi-contractive mappings in real Hilbert spaces. We also extend the result to the class of tempered L-Lipschitz generalized Hemi-contractive mappings. We prove weak and strong convergence results of the iterative method. Our results generalize many results in literature.