On some weak contractive mappings of integral type and fixed point results in b-metric spaces

被引：0

作者：

Guan, Hongyan ^{[1
]}

Gou, Jinze ^{[1
]}

Hao, Yan ^{[1
]}

机构：

[1] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

fixed point; contractive mapping of integral type; 0-weak contraction; 0-tfr-weak contraction; b-metric; FUNCTIONAL-EQUATIONS; THEOREMS;

D O I：

10.3934/math.2024228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we considered the fixed point problem for contractive mappings of integral type in the setting of b-metric spaces for the first time. First, we introduced the concepts of 0-weak contraction and 0-tfr-weak contraction. Second, the existence and uniqueness of fixed points of contractive mappings of integral type in b-metric spaces were studied. Meanwhile, two examples were given to prove the feasibility of our results. As an application, we proved the solvability of a functional equation arising in dynamic programming.

引用

页码：4729 / 4748

页数：20

共 24 条

[21] θ*-Weak Contractions and Discontinuity at the Fixed Point with Applications to Matrix and Integral Equations
Perveen, Atiya
Alfaqih, Waleed M.
Sessa, Salvatore
Imdad, Mohammad
[J]. AXIOMS, 2021, 10 (03)
[22] Some theorems on weakly contractive maps
Rhoades, BE
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) : 2683 - 2693
[23] Roshan JR, 2014, HACET J MATH STAT, V43, P613
[24] Contraction conditions using comparison functions on b-metric spaces
Shatanawi, Wasfi
Pitea, Ariana
Lazovic, Rade
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 3 →