I-GENERALIZED METRIC SPACES AND SOME FIXED POINT THEOREMS

Abstract

The aim of this paper is to establish the structure of I-generalized metric spaces as a concept of metric spaces, which is a kind of generalization of traditional generalized metric space structure. Some fixed point results for various contractive type mappings in the context of I-generalized metric spaces are presented. We also provide some definitions to illustrate the results presented herein.