Best Proximity Points Results for Cone Generalized Semi-Cyclic $\varphi-$Contraction Maps

محورهای موضوعی : Applied Mathematics

Marzieh Ahmadi Baseri ¹ (Deparment of Mathematics, Yazd University, Yazd, Iran)
Hamid Tehrani ² (Department of Mathematics, Yazd University, Yazd, Iran)
T. D. Nrang ³ (Department of Mathematics, Guru Nanak Dev University, Amristar, India)

تاریخ دریافت : 1399/07/13 تاریخ پذیرش : 1399/09/04 تاریخ انتشار : 1401/02/11

کلید واژه: Best proximity points, Normal cone metric spaces, $\varphi$-contraction maps, Cone metric spaces, Cone generalized semi-cyclic,

چکیده مقاله :

In this paper, we introduce a cone generalized semi-cyclic$\varphi-$contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.