Fixed-point theorems of FR-Ćirić-pata type in Fuzzy-Riesz I-Convex Metric Space (FRCMS)

Abstract

This article is intended to study the FRCMS. Additionally, we introduce some new definitions such as (Fuzzy-Riesz Metric Space, Fuzzy-Riesz I-Convex Metric Space, FR-Convergence and FR-Cauchy). Moreover, we also present a kind of generalization to a conditional (Pata) and (Ćirić) that we called it (FR- Ćirić -Pata type). Finally, we study the theorem of the fixed-point on this type.

Subject Classification: (2010):

• 47H10
• 54A50

Keywords:

• FR-Metric Space
• Fuzzy-Riesz I-Convex Metric Space (FRCMS)
• FR- Ćirić-Pata type and its fixed-point theorem