Fixed Point Theorems via Orthogonal Convex Contraction in Orthogonal b-Metric Spaces and Applications

被引：4

作者：

Nallaselli, Gunasekaran ^{[1
]}

Baazeem, Amani S. ^{[2
]}

Gnanaprakasam, Arul Joseph ^{[1
]}

Mani, Gunaseelan ^{[3
]}

Javed, Khalil ^{[4
]}

Ameer, Eskandar ^{[5
]}

Mlaiki, Nabil ^{[6
]}

机构：

[1] SRM Inst Sci & Technol, Coll Engn & Technol, Fac Engn & Technol, Dept Math, Kanchipuram 603203, India

[2] Imam Mohammed Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, IMSIU, POB 90950, Riyadh 11623, Saudi Arabia

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

[4] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad 04436, Pakistan

[5] Taiz Univ, Dept Math, POB 6803, Taizi, Yemen

[6] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

b-metric space; O-set; O-sequence; b?-metric space; fixed point; orthogonal convex; MAPPINGS;

D O I：

10.3390/axioms12020143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of orthogonal convex structure contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. We adopt an example to highlight the utility of our main result. Finally, we apply our result to examine the existence and uniqueness of the solution for the spring-mass system via an integral equation with a numerical example.

引用

页数：17

共 50 条

[31] Fixed Point Theorems on Orthogonal Metric Spaces via Altering Distance Functions [J].

Gungor, Nurcan Bilgili ;

Turkoglu, Duran .

THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183

[32] Fixed point theorems on generalized b-metric spaces [J].

Petre, Ioan-Radu ;

Bota, Monica .

PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (1-2) :139-159

[33] Fixed Point Results via Orthogonal (α - η - G)-Contraction in Orthogonal Complete Metric Space [J].

Liu, Xiaolan ;

Nallaselli, Gunasekaran ;

Ul Haq, Absar ;

Gnanaprakasam, Arul Joseph ;

Baloch, Imran Abbas .

SYMMETRY-BASEL, 2023, 15 (09)

[34] Fixed Point of Almost Contraction in b-Metric Spaces [J].

Iqbal, Maryam ;

Batool, Afshan ;

Ege, Ozgur ;

Sen, Manuel de la .

JOURNAL OF MATHEMATICS, 2020, 2020

[35] COMMON FIXED POINT THEOREMS IN C*-ALGEBRA-VALUED B-METRIC SPACES WITH APPLICATIONS TO INTEGRAL EQUATIONS [J].

Razavi, S. S. ;

Masiha, H. P. .

FIXED POINT THEORY, 2019, 20 (02) :649-662

[36] New fixed point theorems on b-metric spaces with applications to coupled fixed point theory [J].

Monica-Felicia Bota ;

Liliana Guran ;

Adrian Petruşel .

Journal of Fixed Point Theory and Applications, 2020, 22

[37] On Convex F-Contraction in b-Metric Spaces [J].

Huang, Huaping ;

Mitrovic, Zoran D. ;

Zoto, Kastriot ;

Radenovic, Stojan .

AXIOMS, 2021, 10 (02)

[38] FIXED POINT THEOREMS FOR GENERALIZED (αη)EB -CONTRACTIONS IN EXTENDED B-METRIC SPACES WITH APPLICATIONS [J].

Alasmari, Maryam F. S. ;

Abdou, Afrah A. N. .

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 12 (04) :15-31

[39] Fixed point theorems on orthogonal complete metric spaces with an application [J].

Touail, Youssef ;

El Moutawakil, Driss .

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02) :1801-1809

[40] SOME FIXED POINT THEOREMS FOR α-ADMISSIBLE θ-φ-MULTIVALUED CONTRACTION MAPPINGS IN b-METRIC SPACES [J].

Taqbibt, Abdellah ;

Savatovic, Milica ;

Elomari, M'hamed ;

Melliani, Said .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2025, 19 (01) :150-175

← 1 2 3 4 5 →