An Extended Coupled Coincidence Point Theorem and Related Results
Sigma Journal of Engineering and Natural Sciences 2016, Vol. 34, Issue 4, pp. 517-525; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-an-extended-coupled-coincidence-point-theorem-and-related-results
Abstract
In this paper, we give an extended coupled coincidence point theorem for a mixed 𝑔−monotone mapping 𝐹:𝑋→𝑋 satisfying a weaker contractive condition. As a result of this theorem, we introduce an extended coupled fixed point theorem. We also explain that there exist a relationship between Theorem 2.1 which is our main theorem and Theorem 1.3 introduced by Choudhury et. al. [ Choudhury, BS, Kundu, A: Appl. Math. Lett. 25,6-10(2012) ].
Keywords: Fixed point; coupled coincidence point; coupled fixed point; Partially ordered set.
Share and Cite
KIR, M.; KIZILTUNÇ, H. An Extended Coupled Coincidence Point Theorem and Related Results. Sigma Journal of Engineering and Natural Sciences 2016, Vol. 34, pp. 517-525. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-an-extended-coupled-coincidence-point-theorem-and-related-results
Export: