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

[1] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces [J].

Aghajani, Asadollah ;

Abbas, Mujahid ;

Roshan, Jamal Rezaei .

MATHEMATICA SLOVACA, 2014, 64 (04) :941-960

[2]

ALBER YA. I., 1997, Advances and Appl., V98, P7

[3] Fixed points of weakly compatible maps satisfying a general contractive condition of integral type [J].

Altun, Ishak ;

Turkoglu, Duran ;

Rhoades, Billy E. .

FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)

[4] Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces [J].

Altun, Ishak ;

Acar, Ozlem .

TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (10-11) :2642-2648

[5] Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions [J].

Ansari, Arslan Hojat ;

Chandok, Sumit ;

Ionescu, Cristiana .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[6]

BANACH S., 1922, Fund. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[7] DYNAMIC PROGRAMMING [J].

BELLMAN, R .

SCIENCE, 1966, 153 (3731) :34-&

[8]

Bellman R., 1978, AEQUATIONES MATH, V17, P1, DOI DOI 10.1007/BF01818535

[9]

BHAKTA PC, 1984, J MATH ANAL APPL, V98, P348, DOI 10.1016/0022-247X(84)90254-3

[10]

Boriceanu M., 2009, Int. J. Mod. Math., V4, P285

← 1 2 3 →