Common fixed points for nonexpansive type fuzzy mappings

Abstract

In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type multi-valued mappings.

Keywords

• star-shaped set
• Opial's condition
• weak convergence
• Hausdorff metric
• nonexpansive fuzzy mapping
• nonexpansive type fuzzy mapping
• fixed point
• common fixed point.