Generalized R-Contraction by Using Triangular α-Orbital Admissible

Year 2021, Volume: 10 Issue: 1, 1 - 9, 30.04.2021

Ferhan Şola Erduran

Abstract

This study presents Ciric type generalization of R-contraction and generalized R-contraction by using an α-orbital admissible function in metric spaces using the definition of R-contraction introduced by Roldan-Lopez-de-Hierro and Shahzad [New fixed-point theorem under R-contractions, Fixed Point Theory and Applications, 98(2015): 18 pages, 2015] and prove some fixed-point theorems for this type contractions. Thanks to these theorems, we generalize some known results.

Keywords

α-admissible, R-contraction, Ciric generalization, Fixed point

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