Some fixed point results based on contractions of new types for extended b-metric spaces

被引：12

作者：

Shatanawi, Wasfi ^{[1
,2
]}

Shatnawi, Taqi A. M. ^{[2
]}

机构：

[1] Prince Sultan Univ, Coll Humanities & Sci, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[2] Hashemite Univ, Fac Sci, Dept Math, POB 330127, Zarqa 13133, Jordan

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 05期

关键词：

fixed point; extended metric space of type (gamma-beta); extended b-metric space;

D O I：

10.3934/math.2023554

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The construction of contraction conditions plays an important role in science for formulating new findings in fixed point theories of mappings under a set of specific conditions. The aim of this work is to take advantage of the idea of extended b-metric spaces in the sense introduced by Kamran et al. [A generalization of b-metric space and some fixed point theorems, Mathematics, 5 (2017), 1-7] to construct new contraction conditions to obtain new results related to fixed points. Our results enrich and extend some known results from b-metric spaces to extended b-metric spaces. We construct some examples to show the usefulness of our results. Also, we provide some applications to support our results.

引用

页码：10929 / 10946

页数：18

共 26 条

[1]

Abdeljawad T, 2015, J COMPUT ANAL APPL, V19, P883

[2] Fixed point theorems in controlled J-metric spaces [J].

Aiadi, Suhad Subhi ;

Othman, Wan Ainun Mior ;

Wong, Kok Bin ;

Mlaiki, Nabil .

AIMS MATHEMATICS, 2023, 8 (02) :4753-4763

[3] Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions [J].

Al-Qurashi, Maysaa ;

Shagari, Mohammed Shehu ;

Rashid, Saima ;

Hamed, Y. S. ;

Mohamed, Mohamed S. .

AIMS MATHEMATICS, 2022, 7 (01) :315-333

[4] Existence of fixed points of generalized set-valued F-contractions of b-metric spaces br [J].

Ali, Basit ;

Butt, Hafiza Aqsa ;

De la Sen, Manuel .

AIMS MATHEMATICS, 2022, 7 (10) :17967-17988

[5] Complex-valued double controlled metric like spaces with applications to fixed point theorems and Fredholm type integral equations [J].

Aslam, Muhammad Suhail ;

Chowdhury, Mohammad Showkat Rahim ;

Guran, Liliana ;

Manzoor, Isra ;

Abdeljawad, Thabet ;

Santina, Dania ;

Mlaiki, Nabil .

AIMS MATHEMATICS, 2023, 8 (02) :4944-4963

[6]

Bakhtin I.A., 1989, FUNCT ANAL GOS PED I, V30, P26, DOI DOI 10.1039/AP9892600037

[7]

Banach S., 1922, FUND MATH, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]

[8]

Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5

[9] Hybrid Ciric Type Graphic (Υ, Λ)-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations [J].

Ameer, Eskandar ;

Aydi, Hassen ;

Arshad, Muhammad ;

De la Sen, Manuel .

SYMMETRY-BASEL, 2020, 12 (03)

[10] Reich-Type and (α, F)-Contractions in Partially Ordered Double-Controlled Metric-Type Spaces with Applications to Non-Linear Fractional Differential Equations and Monotonic Iterative Method [J].

Farhan, Muhammad ;

Ishtiaq, Umar ;

Saeed, Muhammad ;

Hussain, Aftab ;

Al Sulami, Hamed .

AXIOMS, 2022, 11 (10)

← 1 2 3 →