Fixed points of ( - ) nonexpansive mappings

We obtain fixed point theorems for nonexpansive mappings by employing a new (is an element of, delta) 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.