Fixed and best proximity points for Kannan cyclic contractions in modular function spaces

被引：12

作者：

Ilchev, Atanas ^{[1
]}

Zlatanov, Boyan ^{[1
]}

机构：

[1] Univ Plovdiv Paisii Hilendarski, Fac Math & Informat, 24 Tzar Assen Str, Plovdiv 4000, Bulgaria

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期

关键词：

Best proximity point; fixed point; modular function space; Orlicz space; integral operator; METRIC-SPACES; PAIR THEOREMS; MAPPINGS;

D O I：

10.1007/s11784-017-0459-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the notion of best proximity points for cyclic contraction maps in modular function spaces about Kannan maps. We have found sufficient conditions for the existence and uniqueness of best proximity points and fixed points for cyclic Kannan maps in modular function spaces. As corollaries we get sufficient conditions for the existence and uniqueness of best proximity points and fixed points for cyclic maps in Orlicz spaces, endowed with an Orlicz function modular. We present an application of the results for solving integral equations.

引用

页码：2873 / 2893

页数：21

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