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

Theory of Approximation and Applications

مقاله 3، دوره 16، شماره 1، مرداد 2022، صفحه 14-20   

نوع مقاله: Research Articles

نویسندگان

Marzieh Ahmadi Baseri^{* 1}؛ Hamid Mazaheri Tehrani²؛ T. D. Nrang³

¹Deparment of Mathematics, Yazd University, Yazd, Iran

²Department of Mathematics, Yazd University, Yazd, Iran

³Department of Mathematics, Guru Nanak Dev University, Amristar, India

چکیده

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

کلیدواژه‌ها

Best proximity points؛ Cone metric spaces؛ Normal cone metric spaces؛ Cone generalized semi-cyclic؛ $\varphi$-contraction maps