Some new fixed point theorems for single and set-valued admissible mappings in Menger PM-spaces

被引：9

作者：

Wu, Zhaoqi ^{[1
]}

Zhu, Chuanxi ^{[1
]}

Zhang, Xiaozhi ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2016年 / 110卷 / 02期

关键词：

Menger PM-space; Fixed point; Single-valued mapping; Set-valued mapping; Admissible mapping; PSI-CONTRACTIVE MAPPINGS;

D O I：

10.1007/s13398-015-0265-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the new concepts of -admissible mappings with respect to in single-valued case and -admissible mappings with respect to in set-valued case in Menger PM-spaces are introduced, and some new fixed point results for both single-valued and set-valued mappings under certain contractive conditions are studied, which extend and generalize some results in corresponding literatures. Some examples are provided to illustrate the validity of our main results, and an application is also given to discuss the existence of solution for Volterra type integral equations.

引用

页码：755 / 769

页数：15

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