- Journal of New Results in Science
- Vol: 10 Issue: 1
- Generalized R-Contraction by Using Triangular α-Orbital Admissible
Generalized R-Contraction by Using Triangular α-Orbital Admissible
Authors : Ferhan Şola Erduran
Pages : 1-9
View : 9 | Download : 3
Publication Date : 2021-04-30
Article Type : Research
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