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

作     者：Vahid PARVANEH Nawab HUSSAIN Zoran KADELBURG 

作者机构：Department of Mathematics Gilan-E-Gharb Branch Islamic Azad University Department of Mathematics King Abdulaziz University Faculty of Mathematics University of Belgrade 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2016年第36卷第5期

页      面：1445-1456页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah DSR, KAU for financial support the Ministry of Education, Science and Technological Development of Serbia, Grant No. 174002 

主　　题：α-admissible mapping F-contraction α-continuous function 

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-***, we discuss some illustrative examples to highlight the realized improvements.