Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

被引：56
作者：
Gopal, Dhananjay [1 ]
Abbas, Mujahid [2 ]
Vetro, Calogero [3 ]
机构：
[1] SV Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India
[2] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
[3] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷
关键词：
Fixed point; Menger PM-spaces; Continuous t-norm; Volterra integral equation; ALTERING DISTANCES;
D O I：
10.1016/j.amc.2014.01.135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：955 / 967
页数：13
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