Fixed Points of (ε - δ) Nonexpansive Mappings

Abstract

We obtain fixed point theorems for nonexpansive mappings by employing a new (ε, δ) condition. Our results contain the well-known fixed point theorems due to Meir and Keeler, and Banach as particular cases. The fixed-point sets and domains of the mappings satisfying our theorems have interesting algebraic, geometric and dynamical features. Various examples substantiate our results.