Common fixed point theorem for cyclic generalized multi-valued contraction mappings

• DOI: 10.1016/j.aml.2012.02.045
• Publication Date: 2012-02-26T09:41:04Z
• Authors: Wutiphol Sintunav...; Poom Kumam
• Keywords: Contraction mapping

AbstractIn this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping. Our results extend, generalize and unify Nadler’s multi-valued contraction mapping and many fixed point theorems for multi-valued mappings.