The fixed point property for nonexpansive type mappings in nonreflexive Banach spaces

被引：1
|
作者：
Shukla, Rahul [1 ]
机构：
[1] Univ Johannesburg, Dept Math & Appl Math, Kingsway Campus, ZA-2006 Johannesburg, South Africa
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 03期
关键词：
Fixed point; Nonexpansive mapping; Banach space; THEOREM; NORMS; L(1);
D O I：
10.1007/s12215-020-00566-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present the fixed point property for nonexpansive type mappings in Banach spaces endowed with near-infinity concentrated norms. We also obtain a stability result. Finally, we present a nontrivial example to show the usefulness of these results.
引用
收藏
页码：1413 / 1424
页数：12
相关论文
共 50 条
  • [1] The fixed point property for nonexpansive type mappings in nonreflexive Banach spaces
    Rahul Shukla
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 1413 - 1424
  • [2] THE FIXED POINT PROPERTY FOR SOME GENERALIZED NONEXPANSIVE MAPPINGS IN A NONREFLEXIVE BANACH SPACE
    Moreno Galvez, Elena
    Llorens-Fuster, Enrique
    [J]. FIXED POINT THEORY, 2013, 14 (01): : 141 - 150
  • [3] Fixed Point Theorems for Nonexpansive Type Mappings in Banach Spaces
    Pant, Rajendra
    Patel, Prashant
    Shukla, Rahul
    De la Sen, Manuel
    [J]. SYMMETRY-BASEL, 2021, 13 (04):
  • [4] SOME FIXED POINT PROPERTY FOR MULTIVALUED NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Zuo, Zhanfei
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (01): : 129 - 137
  • [5] FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS OF NONEXPANSIVE TYPE IN BANACH SPACES
    Ibaraki, Takanori
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2009, 10 (01) : 21 - 32
  • [6] Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
    A. Amini-Harandi
    M. Fakhar
    H. R. Hajisharifi
    [J]. Journal of Fixed Point Theory and Applications, 2016, 18 : 601 - 607
  • [7] Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
    Amini-Harandi, A.
    Fakhar, M.
    Hajisharifi, H. R.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (03) : 601 - 607
  • [8] Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
    García-Falset, J
    Llorens-Fuster, E
    Mazcuñan-Navarro, EM
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 233 (02) : 494 - 514
  • [9] Some renormings of Banach spaces with the weak fixed point property for nonexpansive mappings
    Gopal Dutta
    P. Veeramani
    [J]. Acta Scientiarum Mathematicarum, 2019, 85 : 171 - 180
  • [10] Some renormings of Banach spaces with the weak fixed point property for nonexpansive mappings
    Dutta, Gopal
    Veeramani, P.
    [J]. ACTA SCIENTIARUM MATHEMATICARUM, 2019, 85 (1-2): : 171 - 180
12345