Some fixed point theorems using weaker Meir–Keeler function in metric spaces with w−distance

摘要

In the present paper we prove some new fixed point theorems for self-mappings defined on a complete metric space with a w-distance. These results extend some previous fixed point theorems in this field to more general contractive conditions in the setting of w-distances for selfmappings which satisfy certain weaker Meir–Keeler conditions.