Some Results in Fuzzy b-Metric Space with b-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming

被引：14

作者：

Mani, Gunaseelan ^{[1
]}

Gnanaprakasam, Arul Joseph ^{[2
]}

Guran, Liliana ^{[3
]}

George, Reny ^{[4
]}

Mitrovic, Zoran D. ^{[5
]}

机构：

[1] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[2] SRM Inst Sci & Technol, Fac Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

[3] Vasile Goldis Western Univ Arad, Dept Pharmaceut Sci, L Rebreanu St 86, Arad 310048, Romania

[4] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Al Kharj 11942, Saudi Arabia

[5] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

来源：

MATHEMATICS | 2023年 / 11卷 / 19期

关键词：

fuzzy metric spaces; fuzzy b-metric space; b-triangular property; fixed point; integral equation; dynamic programming; FIXED-POINT THEOREMS; CONTRACTIVE MAPPINGS; SETS;

D O I：

10.3390/math11194101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the b-triangular property in fuzzy b-metric space. Furthermore, we give some new fixed point results in fuzzy b-metric space for non-continuous mappings. Our results generalize and expand some results from the related literature. Two applications of our results, to solving Fredholm integral equation and in dynamic programming, are also given.

引用

页数：17

共 33 条

[1] Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application [J].