Resumen de Contractive definitions and discontinuity at fixed point

Ravindra K Bisht, R. P. Pant

• In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.