A common fixed point theorem for new type compatible maps on modular metric spaces

被引：2

作者：

Kaplan, Elif ^{[1
]}

Kutukcu, Servet ^{[1
]}

机构：

[1] Ondokuz Mayis Univ, Dept Math, Samsun, Turkey

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 01期

关键词：

Modular metric; w-compatible maps; WA-compatible maps; common fixed point; Volterra type integral equation;

D O I：

10.1142/S1793557122502291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss a new definition of WA-compatible maps in a modular metric space, prove a common fixed point theorem and utilize them to get a solution of a Volterra type integral equation.

引用

页数：13

共 10 条

[1] Integral type contractions in modular metric spaces
Azadifar, Bahareh
Sadeghi, Ghadir
Saadati, Reza
Park, Choonkil
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[2] Modular metric spaces, I: Basic concepts
Chistyakov, Vyacheslav V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 1 - 14
[3] FISHER B, 1986, INT J MATH MATH SCI, V9, P23, DOI DOI 10.1155/S0161171286000030
[4] COMMUTING MAPPINGS AND FIXED-POINTS
JUNGCK, G
[J]. AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) : 261 - 263
[5] Jungck G, 1986, INT J MATH MATH SCI, V9, P771, DOI DOI 10.1155/S0161171286000935
[6] Jungck G., 1993, MATH JAPONICA, V38, P381
[7] EXTENSIONS OF A FIXED-POINT THEOREM OF MEIR AND KEELER
PARK, S
BAE, JS
[J]. ARKIV FOR MATEMATIK, 1981, 19 (02): : 223 - 228
[8] Sessa S., 1982, PUBL I MATH, V32, P149
[9] Singh S. L., 1982, MATH SEM NOTES KOBE, V10, P197
[10] SINGH SL, 1982, INDIAN J PURE AP MAT, V13, P757

← 1 →