Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 4 2023 04 01 On ordered theoretic controlled fuzzy metric spaces 1 14 7389 10.22075/ijnaa.2023.28472.3902 EN Khalil Javed Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan Fahim Uddin Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan Umar Ishtiaq Office of Research, Innovation and Commercialization, University of Management and Technology Lahore, Pakistan Choonkil Park Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea 0000-0001-6329-8228 Muhammad Arshad Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan Journal Article 2022 09 20 In this article, we introduce the concept of $\Re $-control fuzzy metric spaces. We prove some fixed point results in the sense of $\Re $-control fuzzy metric spaces and furnish our work with several non-trivial examples to verify the validity of the proposed results. In the end, we incorporate this work with an application to solve an integral equation. https://ijnaa.semnan.ac.ir/article_7389_4180b5120ca2e09eaa3bd2ebf4b53667.pdf