Semi-metric spaces and fixed points of α-φ-contractive maps

被引:4
|
作者
Shahzad, Naseer [1 ]
Alghamdi, Mohammed Ali [1 ]
Alshehri, Sarah [2 ]
Aradelovic, Ivan [3 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Sci Fac Girls, POB 4087, Jeddah 21491, Saudi Arabia
[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 11000, Serbia
来源
关键词
Semi-metric space; alpha-phi-contractive mapping; fixed point; probabilistic space; SYMMETRIC-SPACES; THEOREMS;
D O I
10.22436/jnsa.009.05.104
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A negative answer to an open problem is provided. Fixed point results for alpha-phi-contractive mappings in semi -metric spaces are proved. To show the generality of our results, examples are given. Finally, an application of our result to probabilistic spaces is derived. (C) 2016 All rights reserved.
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页码:3147 / 3156
页数:10
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