Common fixed point results under a new contractive condition without using continuity

Abstract

Abstract In this paper, using the concept of the common ( E . A ) property, we prove a common fixed point theorem for a class of twice power type weakly compatible mappings in generalized metric space. Our results do not rely on any commuting or continuity condition of the mappings. We also state some examples to illustrate our new results in symmetric and nonsymmetric generalized metric spaces. It should be pointed out that this is the first time to use common ( E . A ) properties to discuss common fixed point problems of contractive mappings for twice power type in generalized metric spaces.