NEW COMMON FIXED POINT THEOREMS FOR CONDITIONALLY COMPATIBLE OF TYPE (E) IN INTUITIONISTIC FUZZY METRIC SPACE
By
Arvind Kumar Gupta1 and Kamal Wadhwa2
1Department of Mathematics, Government Polytechnic College Mandla Madhya Pradesh,India 481661
2Department of Mathematics, Government Narmada College Hoshangabad Madhya Pradesh, India 461005
Email: arvindkumargupta74@gmail.com and wadhwakamal68@gmail.com
(Received: October 25, 2024; In format: November 30, 2024, Revised: June 03, 2025; Accepted: June 05, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55125
Abstract
The purpose of this paper is to introduce the new concept, conditionally compatible of type (E) in the framework of Intuitionistic fuzzy metric space, and to establish a new common fixed point theorem by using a generalized contractive condition of integral type with all values of α ∈ (0, 2). And we improve the known result of K.B. Manandhar and et-al. by replacing the continuous condition with its weak form.
2020 Mathematical Sciences Classification: Primary: 54H25; Secondary: 47H10
Keywords and Phrases: IFMS, Conditionally compatible of type (E), rc,wsc, ssc, owc.