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

页码：1445 / 1456

页数：12

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