INTERPOLATIVE REICH-RUS-{\'C}IRI{\'C} TYPE CONTRACTION ON PARTIAL FUZZY METRIC SPACE

Jaynendra Shrivas; Rohit Kumar Verma; Kuleshwari; Prachi Singh

doi:https://doi.org/10.56827/SEAJMMS.2026.2202.3

Jaynendra Shrivas Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA

Rohit Kumar Verma Department of Mathematics, Govt. Chandulal Chandrakar Arts and Science College, Patan, Durg - 491111, Chhattisgarh, INDIA

Kuleshwari Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA

Prachi Singh Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA

Volume 22, Issue 2 Pages 55-68 August 30, 2026 29 downloads

Article overview

Abstract

In this paper, we introduce fuzzy interpolative Reich--Rus--{\'C}iri{\'c} type contractions in fuzzy and partial fuzzy metric spaces. We establish existence and uniqueness results for fixed points under suitable interpolative contractive conditions. The obtained results generalize several known fixed point theorems in the literature. Illustrative examples are provided to support the applicability of the main results.

Keywords and Phrases

Fuzzy metric spaceinterpolative Reich-Rus-{\'C}iri{\'c} contractionpartial fuzzy metric spacefixed point.

AMS Subject Classification

47H10, 54H25, 54E50.

Reference information

How to Cite

Jaynendra Shrivas, Rohit Kumar Verma, Kuleshwari, Prachi Singh (2026). INTERPOLATIVE REICH-RUS-{\'C}IRI{\'C} TYPE CONTRACTION ON PARTIAL FUZZY METRIC SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 22(2), 55-68.

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