FIXED POINT THEOREM ON SOME ORDERED METRIC SPACES AND ITS APPLICATION

被引：0

作者：

Shin, Chang hyeob ^{[1
]}

机构：

[1] Dankook Univ, Coll Engn, Yongin 16890, South Korea

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2024年 / 42卷 / 01期

关键词：

Fuzzy norm; order; fixed point; stability; FUNCTIONAL-EQUATION; STABILITY; FUZZY; HYERS;

D O I：

10.14317/jami.2024.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, we will prove a fixed point theorem for selfmappings on a generalized quasi-ordered metric space which is a generalization of the concept of a generalized metric space with a partial order and we investigate a genralized quasi-ordered metric space related with fuzzy normed spaces. Further, we prove the stability of some functional equations in fuzzy normed spaces as an application of our fixed point theorem.

引用

页码：93 / 104

页数：12

共 50 条

[1] A fixed point theorem in generalized ordered metric spaces with application
Gholizadeh, Leila
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2013, 6 (04): : 244 - 251
[2] Some Fixed Point Theorems on Ordered Metric Spaces and Application
Altun, Ishak
Simsek, Hakan
FIXED POINT THEORY AND APPLICATIONS, 2010,
[3] Some Fixed Point Theorems on Ordered Metric Spaces and Application
Ishak Altun
Hakan Simsek
Fixed Point Theory and Applications, 2010
[4] A COMMON FIXED POINT THEOREM ON ORDERED METRIC SPACES
Nashine, Hemant Kumar
Altun, Ishak
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (04) : 925 - 934
[5] A FIXED POINT THEOREM FOR MONOTONE MULTIVALUED MAPPINGS IN ORDERED METRIC SPACES AND APPLICATION
Quan, Dau Hong
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2024, 36 (03) : 307 - 315
[6] An infinite dimensional fixed point theorem on function spaces of ordered metric spaces
Mutlu, Ali
Gurdal, Utku
KUWAIT JOURNAL OF SCIENCE, 2015, 42 (03) : 36 - 49
[7] A fixed point theorem in probabilistic metric spaces and an application
Pap, E
Hadzic, O
Mesiar, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) : 433 - 449
[8] A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations
Zhou, Xiangbing
Wu, Wenquan
Ma, Hongjiang
ABSTRACT AND APPLIED ANALYSIS, 2012,
[9] Some fixed point theorems on ordered cone metric spaces
Altun I.
Durmaz G.
Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) : 319 - 325
[10] SOME FIXED POINT THEOREMS IN ORDERED PARTIAL METRIC SPACES
Isik, Huseyin
Turkoglu, Duran
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2013, 4 (02): : 13 - 18

← 1 2 3 4 5 →