Best Proximity Points Results for Cone Generalized Semi-Cyclic $\varphi-$Contraction Maps
الموضوعات :
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)
الکلمات المفتاحية: Best proximity points, Normal cone metric spaces, $\varphi$-contraction maps, Cone metric spaces, Cone generalized semi-cyclic,
ملخص المقالة :
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.