Liu, XiaolanZhou, MiAnsari, Arslan H.Chakrabarti, KalyanAbbas, MujahidRathour, Laxmi2023-03-062023-03-062022-08-11Liu, X.; Zhou, M.; Ansari, A.H.; Chakrabarti, K.; Abbas, M.; Rathour, L. Coupled Fixed Point Theorems with Rational Type Contractive Condition via C-Class Functions and Inverse Ck-Class Functions. Symmetry 2022, 14, 1663. https://doi.org/10.3390/sym14081663.2073-8994 (online)10.3390/sym14081663https://repository.up.ac.za/handle/2263/89963The purpose of this paper is to develop coupled fixed point theorems by C-class functions with mixed monotonicity, discuss the existence of the coupled fixed point of two mappings and obtain a coupled coincidence point theorem via inverse Ck-class functions in partially ordered H-metric spaces. This improves the existing results. In addition, some instances and an application are given to illustrate the usability and validity of the results.en© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.Coupled fixed pointC-Class functionsPartially ordered H-metricInverse Ck-class functionsArticle