Coupled coincidence points of almost generalized (ψ, ϕ)-weakly contractive maps under an (F, g)-invariant set

GUTTI VENKATA RAVINDRANADH BABU, Kidane Koyas Tola

Abstract


Let (X, d) be a metric space and F : X × X → X and g : X → Xbe maps. In this paper, we dene almost generalized (ψ, ϕ)-weakly contractivemaps and prove the existence of coupled coincidence points of such maps under an(F, g)-invariant set without using the mixed g-monotone property in a metric spacesetting. We also, apply our results to obtain the existence of coupled coincidencepoints in partially ordered metric spaces. Our results generalize the results ofChoudhury, Metiya and Kundu [10]. We also provide examples in support of ourresults.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|