Best proximity points for ψ-proximal multi-functions

被引:2
作者
Shojaat, Hadi [1 ]
Afshari, Hojjat [2 ]
Asgari, Mohammad Sadegh [1 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Fac Sci, Dept Math, Tehran, Iran
[2] Univ Bonab, Fac Basic Sci, Dept Math, Bonab, Iran
关键词
psi-proximal multifunction; approximatively compact; psi-proximal contraction; THEOREMS; CONVERGENCE; EXISTENCE; MAPPINGS;
D O I
10.1142/S1793557120501569
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Best proximity point theorems for self-mappings and multi-functions were investigated with different conditions on spaces and the contractions of mappings. In this paper, we will prove best proximity point theorems for some generalized multi-functions that we call psi-proximal multi-functions, which are of two types, psi-proximal multi-functions of the first and second kind.
引用
收藏
页数:15
相关论文
共 17 条
  • [11] Best proximity points for cyclic Meir-Keeler contractions
    Di Bari, Cristina
    Suzuki, Tomonari
    Vetro, Calogero
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3790 - 3794
  • [12] Existence and convergence of best proximity points
    Eldred, A. Anthony
    Veeramani, P.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006
  • [13] EXTENSIONS OF 2 FIXED POINT THEOREMS OF BROWDER,FE
    FAN, K
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1969, 112 (03) : 234 - &
  • [14] Khammahawong K, 2017, J FIX POINT THEORY A, V19, P2847, DOI 10.1007/s11784-017-0457-6
  • [15] Proximinal retracts and best proximity pair theorems
    Kirk, WA
    Reich, S
    Veeramani, P
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (7-8) : 851 - 862
  • [16] MULTI-VALUED CONTRACTION MAPPINGS
    NADLER, SB
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) : 475 - &
  • [17] Best proximity point theorems for multivalued mappings on partially ordered metric spaces
    Pragadeeswarar, V.
    Marudai, M.
    Kumam, P.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1911 - 1921