GENERALIZED WARDOWSKI TYPE FIXED POINT THEOREMS VIA α-ADMISSIBLE FG-CONTRACTIONS IN b-METRIC SPACES

被引：0
|
作者：
Vahid PARVANEH [1 ]
Nawab HUSSAIN [2 ]
Zoran KADELBURG [3 ]
机构：
[1] Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University
[2] Department of Mathematics, King Abdulaziz University
[3] Faculty of Mathematics, University of Belgrade
来源：
Acta Mathematica Scientia | 2016年 / 05期
关键词：
α-admissible mapping; F-contraction; α-continuous function;
D O I：
暂无
中图分类号：
O189.11 [拓扑空间（空间拓扑）];
学科分类号：
070104 ;
摘要：
Recently, Wardowski [Fixed Point Theory Appl., 2012: 94, 2012] introduced and studied a new contraction called F-contraction to prove a fixed point result as a generalization of the Banach contraction principle. In this paper, we introduce an α-β-FG-contraction and generalize the Wardowski fixed point result in b-metric and ordered b-metric spaces. As an application of our results we deduce Suzuki type fixed point results for β-FG-contractions.Moreover, we discuss some illustrative examples to highlight the realized improvements.
引用
收藏
页码：1445 / 1456
页数：12
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