BEST PROXIMITY POINTS OF MULTIVALUED GERAGHTY CONTRACTIONS

被引：2
作者：
Debnath, Pradip [1 ]
机构：
[1] Assam Univ, Dept Appl Sci & Humanities, Cachar 788011, Assam, India
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
best proximity point; fixed point; Geraghty contraction; complete metric space; multivalued map; optimization;
D O I：
10.18514/MMN.2023.3984
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
There are situations when we have to resort to the approximate optimal solution of equations of the type g(t) = t when g is not a self-map, because exact solution of that equation does not exist. The existence of such optimal solutions are ensured by best proximity point theorems. In this paper, we define multivalued Geraghty contraction (MVGC) in a complete metric space and establish the corresponding best proximity point (BPP) result. Our result extends the famous result due to Geraghty on fixed points.
引用
收藏
页码：119 / 127
页数：9
相关论文
共 19 条
  • [1] A discussion on a generalized Geraghty multi-valued mappings and applications
    Afshari, Hojjat
    Atapour, Maryam
    Karapinar, Erdal
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [2] On generalized α - ψ-Geraghty contractions on b-metric spaces
    Afshari, Hojjat
    Aydi, Hassen
    Karapinar, Erdal
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (01) : 9 - 21
  • [3] Boriceanu M., 2010, INTERNAT J MATH STAT, V6, P65
  • [4] A best proximity point theorem for Geraghty-contractions
    Caballero, J.
    Harjani, J.
    Sadarangani, K.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [5] Czerwik S., 1998, ATTI SEMIN MAT FIS U, V46, P263
  • [6] OPTIMIZATION THROUGH BEST PROXIMITY POINTS FOR MULTIVALUED F-CONTRACTIONS
    Debnath, Pradip
    [J]. MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 143 - 151
  • [7] Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
    Debnath, Pradip
    Mitrovic, Zoran D.
    Srivastava, Hari Mohan
    [J]. AXIOMS, 2021, 10 (01) : 1 - 7
  • [8] Global Optimization and Common Best Proximity Points for Some Multivalued Contractive Pairs of Mappings
    Debnath, Pradip
    Srivastava, Hari Mohan
    [J]. AXIOMS, 2020, 9 (03)
  • [9] New Extensions of Kannan's and Reich's Fixed Point Theorems for Multivalued Maps Using Wardowski's Technique with Application to Integral Equations
    Debnath, Pradip
    Srivastava, Hari Mohan
    [J]. SYMMETRY-BASEL, 2020, 12 (07):
  • [10] Fixed Points of Eventually Δ-Restrictive and Δ(ε)-Restrictive Set-Valued Maps in Metric Spaces
    Debnath, Pradip
    de La Sen, Manuel
    [J]. SYMMETRY-BASEL, 2020, 12 (01):
12