Coupling, optimization and the effect of binary relation

被引：3

作者：

Sarkar, Deb ^{[1
]}

Chandok, Sumit ^{[2
]}

Konar, Pulak ^{[3
]}

Bhardwaj, Ramakant ^{[1
]}

Choudhary, P. R. S. ^{[4
]}

机构：

[1] Amity Univ, Dept Math, 24PGS N, Kolkata 700135, W Bengal, India

[2] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

[3] ICFAI Univ, Dept Math, Mohanpur 799210, West Tripura, India

[4] Govt Sci Coll, Dept Math & Comp Sci, Jabalpur, MP, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 02期

关键词：

Partially ordered set; Control function; Best proximity point; Coupled best proximity point; Integral equation; FIXED-POINT THEOREMS;

D O I：

10.1007/s41478-022-00503-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With a generalized setting of control functions, the present paper is related with numerous best proximity results. The optimal conditions described in the theorem were proved using weak inequalities and admissible mappings. As an application, we give some results on coupled optimal problem using symmetric binary relation. As a result, a number of intriguing corollaries have been established. Our work is supported by illustration.

引用

页码：1081 / 1100

页数：20

共 31 条

[1] Global Optimal Solutions of Noncyclic Mappings in Metric Spaces [J].

Abkar, A. ;

Gabeleh, M. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) :298-305

[2] Best proximity points of non-self mappings [J].

Abkar, Ali ;

Gabeleh, Moosa .

TOP, 2013, 21 (02) :287-295

[3] Discrete optimization in partially ordered sets [J].

Basha, S. Sadiq .

JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (03) :511-517

[4] Best Proximity Points: Optimal Solutions [J].

Basha, S. Sadiq .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 151 (01) :210-216

[5]

Berinde V., 2004, Fixed Point Theory, V9, P43

[6] Fixed point theorems in partially ordered metric spaces and applications [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393

[7] A best proximity point theorem for Geraghty-contractions [J].

Caballero, J. ;

Harjani, J. ;

Sadarangani, K. .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[8]

Chandok S., 2015, J. Egyptian Math. Soc., V23, P95

[9]

Choudhury BS, 2016, FIXED POINT THEORY A, V2016, DOI [10.1186/s13663-016-0569-5, DOI 10.1186/S13663-016-0569-5]

[10] A global optimality result using nonself mappings [J].

Choudhury B.S. ;

Maity P. ;

Konar P. .

OPSEARCH, 2014, 51 (2) :312-320

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