Some fixed point results in fuzzy metric spaces using a control function

Abstract

In this paper, we establish the results on existence and uniqueness of fixed point for φ-contractive and generalized C-contractive mapping in the fuzzy metric space in the sense of George and Veeramani. We use the notion of altering distance for proving the results.

Keywords

• Probabilistic metric space
• fuzzy metric space
• altering distance
• p-convergent subsequence