Common Fixed Point Results for w-α-Distance

Authors : Gülcan Atıci Turan, Fatma Polat

Pages : 7-11

Doi:10.18586/msufbd.1367657

View : 36 | Download : 75

Publication Date : 2024-07-01

Article Type : Research Paper

Abstract :In this study, we examined some fixed point theorems in non-full metric spaces. We define the notions of α-lower semi-continuous , w-α-distance, w_0-α– distance, w-α-rational contraction and generalized w-α-rational contraction mapping. We also give related theorem and example. Then, we prove Banach’s fixed-point theorem thanks to the concept w-α- distance in metric spaces equipped with an abritrary binary relation. Also, w-α- rational contraction mapping and generalized w-α-rational contraction mapping are defined and by using these definitions, the theorem related fixed point is expressed and proved.
Keywords : İkili bağıntı, Sabit nokta, α tam metrik uzay, w mesafe