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
  • [1] On (α∗,ψ)-contractive multi-valued mappings
    Muhammad Usman Ali
    Tayyab Kamran
    Fixed Point Theory and Applications, 2013
  • [2] On (α*, ψ)-contractive multi-valued mappings
    Ali, Muhammad Usman
    Kamran, Tayyab
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [3] Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
    Feng, YQ
    Liu, SY
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 103 - 112
  • [4] Endpoints of multi-valued cyclic contraction mappings
    Moradi, Sirous
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 203 - 210
  • [5] NOTE ON MULTI-VALUED CONTRACTION MAPPINGS
    RAY, BK
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1974, 56 (04): : 500 - 503
  • [6] Endpoints of multi-valued generalized weak contraction mappings
    Moradi, Sirous
    Khojasteh, Farshid
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2170 - 2174
  • [7] Generalized fixed point theorems for multi-valued α-ψ-contractive mappings
    Hussain, Nawab
    Ahmad, Jamshaid
    Azam, Akbar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] Generalized fixed point theorems for multi-valued α-ψ-contractive mappings
    Nawab Hussain
    Jamshaid Ahmad
    Akbar Azam
    Journal of Inequalities and Applications, 2014
  • [10] Approximating endpoints of multi-valued nonexpansive mappings in Banach spaces
    Bancha Panyanak
    Journal of Fixed Point Theory and Applications, 2018, 20