FIXED POINT RESULTS WITH APPLICATIONS TO INVOLUTION MAPPINGS

被引：14

作者：

Nguyen, Luong, V ^{[1
]}

Tram, Nguyen T. N. ^{[1
]}

机构：

[1] Hong Duc Univ, Dept Narural Sci, Thanh Hoa, Vietnam

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2020年 / 4卷 / 03期

关键词：

Fixed points; Involution mappings; Property (L); Convex metric spaces;

D O I：

10.23952/jnva.4.2020.3.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce a class of functions with the property (L), which is weaker than lower semicontinuity property. We then prove a general result on the existence of fixed points of a mapping T in a complete metric (X, d) under the assumption that the function x -> d(x,T x) has the property. This result generalizes several results in the literature. Finally, we apply our result to the existence of fixed points of involution mappings. Examples are given to illustrate our results.

引用

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页码：415 / 426

页数：12

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