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

doi:10.1016/S0252-9602(16)30080-7

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1445-1456.doi: 10.1016/S0252-9602(16)30080-7

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

Vahid PARVANEH¹, Nawab HUSSAIN², Zoran KADELBURG³

1. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;
2. Department of Mathematics, King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia;
3. Faculty of Mathematics, University of Belgrade, Studentski trg 16/IV, 11000 Beograd, Serbia

出版日期:2016-10-25 发布日期:2016-10-25
通讯作者: Vahid PARVANEH,zam.dalahoo@gmail.com E-mail:zam.dalahoo@gmail.com
作者简介:Nawab HUSSAIN,nhusain@kau.edu.sa;Zoran KADELBURG,kadelbur@matf.bg.ac.rs
基金资助:
The third author was supported by Ministry of Education, Science and Technological Development (174002).

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

Vahid PARVANEH¹, Nawab HUSSAIN², Zoran KADELBURG³

1. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;
2. Department of Mathematics, King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia;
3. Faculty of Mathematics, University of Belgrade, Studentski trg 16/IV, 11000 Beograd, Serbia

Online:2016-10-25 Published:2016-10-25
Contact: Vahid PARVANEH,zam.dalahoo@gmail.com E-mail:zam.dalahoo@gmail.com
Supported by:
The third author was supported by Ministry of Education, Science and Technological Development (174002).

摘要/Abstract

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.

关键词: α-admissible mapping, F-contraction, α-continuous function

Abstract:

Key words: α-admissible mapping, F-contraction, α-continuous function

中图分类号:

47H10

Vahid PARVANEH, Nawab HUSSAIN, Zoran KADELBURG. GENERALIZED WARDOWSKI TYPE FIXED POINT THEOREMS VIA α-ADMISSIBLE FG-CONTRACTIONS IN b-METRIC SPACES[J]. 数学物理学报(英文版), 2016, 36(5): 1445-1456.

Vahid PARVANEH, Nawab HUSSAIN, Zoran KADELBURG. GENERALIZED WARDOWSKI TYPE FIXED POINT THEOREMS VIA α-ADMISSIBLE FG-CONTRACTIONS IN b-METRIC SPACES[J]. Acta mathematica scientia,Series B, 2016, 36(5): 1445-1456.

参考文献

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

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

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