COMMON FIXED POINT THEOREMS FOR MULTIVALUED GENERALIZED (a,β)-NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引:0
|
作者
Wiriyapongsanon, Atit [1 ]
Inthakon, Warunun [2 ]
Phudolsitthiphat, Narawadee [2 ]
机构
[1] Thailand Natl Sports Univ, Fac Sport & Hlth Sci, Lampang Campus, Lampang 52100, Thailand
[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
关键词
Fixed point; multivalued; (a; beta)-nonexpansive mapping; Banach space; numerical algorithm; good health and well-being; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; ISHIKAWA ITERATION; MANN; SEQUENCE; SCHEMES; SYSTEM; FAMILY; WEAK;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to introduce new iteration schemes and establish weak and strong convergence theorems for the common fixed points of multivalued generalized (alpha,beta)-nonexpansive mappings. Furthermore, we provide an illustrative example to demonstrate that our algorithm results in faster convergence compared to several existing iteration processes.
引用
收藏
页码:2513 / 2529
页数:17
相关论文
共 50 条
  • [21] Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
    Zuo, Zhanfei
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [22] FIXED-POINT THEOREMS FOR MULTIVALUED MAPPINGS IN BANACH-SPACES
    CANETTI, A
    MARINO, G
    PIETRAMALA, P
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (01) : 11 - 20
  • [23] A FIXED POINT THEOREM FOR MULTIVALUED NONEXPANSIVE MAPPINGS IN BANACH SPACES OF NORMAL STRUCTURE
    解基培
    [J]. Science Bulletin, 1990, (04) : 265 - 267
  • [24] CONVERGENCE THEOREMS OF FIXED POINT FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Saluja, Gurucharan Singh
    Nashine, Hemant Kumar
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (01): : 1 - 11
  • [25] Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
    Dominguez Benavides, T.
    Lorenzo Ramirez, P.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (03)
  • [26] Demiclosed principle and some fixed-point theorems for generalized nonexpansive mappings in Banach spaces
    Shukla, Rahul
    Panicker, Rekha
    Vijayasenan, Deepa
    [J]. FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2024, 2024 (01):
  • [27] Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
    T. Domínguez Benavides
    P. Lorenzo Ramírez
    [J]. Journal of Fixed Point Theory and Applications, 2021, 23
  • [28] Fixed point theorems for some generalized nonexpansive mappings in Ptolemy spaces
    SJ Hosseini Ghoncheh
    A Razani
    [J]. Fixed Point Theory and Applications, 2014
  • [29] Fixed point theorems for some generalized nonexpansive mappings in Ptolemy spaces
    Ghoncheh, S. J. Hosseini
    Razani, A.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [30] FIXED POINT THEORY FOR MULTIVALUED GENERALIZED NONEXPANSIVE MAPPINGS
    Garcia-Falset, Jesus
    Llorens-Fuster, Enrique
    Moreno-Galvez, Elena
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (02) : 265 - 286