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

الموضوعات :

Marzieh Ahmadi Baseri ¹ , Hamid Tehrani ² , T. D. Nrang ³

1 - Deparment of Mathematics, Yazd University, Yazd, Iran
2 - Department of Mathematics, Yazd University, Yazd, Iran
3 - Department of Mathematics, Guru Nanak Dev University, Amristar, India

تاريخ الإرسال : 17 الأحد , صفر, 1442 تاريخ التأكيد : 09 الثلاثاء , ربيع الثاني, 1442 تاريخ الإصدار : 30 الأحد , رمضان, 1443

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.