Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces

被引：2

作者：

Ali, Basit ^{[1
]}

Khan, Arshad Ali ^{[1
]}

De la Sen, Manuel ^{[2
]}

机构：

[1] Univ Management & Technol, Dept Math, C-2, Lahore 54770, Pakistan

[2] Univ Basque Country UPV EHU, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Campus Leioa, Leioa 48940, Bizkaia, Spain

来源：

MATHEMATICS | 2023年 / 11卷 / 03期

关键词：

best proximity points; multivalued mapping; cyclic contractions; b-metric spaces; optimum solution; THEOREMS;

D O I：

10.3390/math11030574

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized multivalued contractions of b-metric spaces. Examples are given to illustrate the main results and to show that the new results are the proper generalization of some existing results in the literature.

引用

页数：21

共 26 条

[11]

Czerwik S., 1993, Acta Math. Inform. Univ. Ostrav., V1, P5

[12] EXTENSIONS OF 2 FIXED POINT THEOREMS OF BROWDER,FE [J].

FAN, K .

MATHEMATISCHE ZEITSCHRIFT, 1969, 112 (03) :234-&

[13]

George R, 2015, WATER AIR SOIL POLL, V1, P45, DOI [10.5899/2015/jnaa-00278, DOI 10.5899/2015/JNAA-00278]

[14] Best Proximity Point Results in b-Metric Space and Application to Nonlinear Fractional Differential Equation [J].

Hussain, Azhar ;

Kanwal, Tanzeela ;

Adeel, Muhammad ;

Radenovic, Stojan .

MATHEMATICS, 2018, 6 (11)

[15] Best proximity point results for modified Suzuki α-ψ-proximal contractions [J].

Hussain, Nawab ;

Latif, Abdul ;

Salimi, Peyman .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[16] Best proximity points for α-ψ-proximal contractive type mappings and applications [J].

Jleli, Mohamed ;

Samet, Bessem .

BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (08) :977-995

[17] Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings [J].

Jleli, Mohamed ;

Karapinar, Erdal ;

Samet, Bessem .

JOURNAL OF APPLIED MATHEMATICS, 2013,

[18] Best proximity point theorems in b-metric spaces [J].

Joseph, J. Maria ;

Beny, J. ;

Marudai, M. .

JOURNAL OF ANALYSIS, 2019, 27 (03) :859-866

[19] Completeness of metric spaces and existence of best proximity points [J].

Khan, Arshad Ali ;

Ali, Basit ;

Nazir, Talat ;

de la Sen, Manuel .

AIMS MATHEMATICS, 2022, 7 (05) :7318-7336

[20] Completeness of b-Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions [J].

Khan, Arshad Ali ;

Ali, Basit .

SYMMETRY-BASEL, 2021, 13 (11)

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