A Note on Homotopic Invariance for Endpoints of Multi-Valued Contractive Mappings

被引：0
|
作者：
Panyanak, Bancha [1 ,2 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Res Ctr Math & Appl Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 02期
关键词：
homotopic invariance; endpoint; multi-valued contractive mapping; uniformly convex Banach space; Opial property; FIXED-POINTS; SET;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the homotopic invariance for endpoints of multi-valued contractive mappings in Banach spaces. We also give an example to illustrate the main result. At the same time, a question raised in [B. Panyanak, The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces, J. Nonlinear Convex Anal. 17 (2016) 2063-2070] is answered in the negative.
引用
收藏
页码：669 / 675
页数：7
相关论文
共 50 条
  • [31] The homotopic invariance for fixed points of set-valued nonexpansive mappings
    Sims, B
    Xu, HK
    Yuan, GXZ
    FIXED POINT THEORY AND APPLICATIONS-BOOK, 2000, : 113 - 125
  • [32] Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings
    Chidume, C. E.
    Ezeora, J. N.
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [33] On new fixed point results for (α, ψ, ξ)-contractive multi-valued mappings on α-complete metric spaces and their consequences
    Kutbi, Marwan Amin
    Sintunavarat, Wutiphol
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [34] Convergence Theorems for Multi-Valued Mappings
    Shehu, Yekini
    Ugwunnadi, G. C.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (02) : 359 - 367
  • [35] Weakly (s, r)-contractive multi-valued operators
    Kamran T.
    Hussain S.
    Rendiconti del Circolo Matematico di Palermo (1952 -), 2015, 64 (3): : 475 - 482
  • [36] Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type
    Wutiphol Sintunavarat
    Poom Kumam
    Journal of Inequalities and Applications, 2011
  • [37] Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces
    Hirunworakit, Soawapak
    Petrot, Narin
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 10
  • [38] Krasnoselskii-type algorithm for fixed points of multi-valued strictly pseudo-contractive mappings
    Charles E Chidume
    Chu-Chu O Chidume
    Ngalla Djitte
    Maaruf S Minjibir
    Fixed Point Theory and Applications, 2013
  • [39] Fixed point iteration for a countable family of multi-valued strictly pseudo-contractive-type mappings
    Chidume, C. E.
    Okpala, M. E.
    SPRINGERPLUS, 2015, 4
  • [40] Fixed Point and Common Fixed Point Theorems on (?,F)-Contractive Multi-Valued Mappings in Uniform Spaces
    Sagheer, Dur-e-Shehwar
    Anwar, Muhammad
    Hussain, Nawab
    Batul, Samina
    FILOMAT, 2022, 36 (17) : 6021 - 6036
12345