Krasnoselskii-type algorithm for fixed points of multi-valued strictly pseudo-contractive mappings

被引：0
|
作者：
Charles E Chidume
Chu-Chu O Chidume
Ngalla Djitte
Maaruf S Minjibir
机构：
[1] African University of Sciences and Technology,Department of Mathematics and Statistics
[2] Auburn University,Department of Mathematical Sciences
[3] Université Gaston Berger,undefined
[4] Bayero University,undefined
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
-strictly pseudo-contractive mappings; multi-valued mappings; -uniformly smooth spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let q>1 and let K be a nonempty, closed and convex subset of a q-uniformly smooth real Banach space E. Let T:K→CB(K) be a multi-valued strictly pseudo-contractive map with a nonempty fixed point set. A Krasnoselskii-type iteration sequence {xn} is constructed and proved to be an approximate fixed point sequence of T, i.e., limn→∞d(xn,Txn)=0. This result is then applied to prove strong convergence theorems for a fixed point of T under additional appropriate conditions. Our theorems improve several important well-known results.
引用
收藏
相关论文
共 50 条
  • [1] Krasnoselskii-type algorithm for fixed points of multi-valued strictly pseudo-contractive mappings
    Chidume, Charles E.
    Chidume, Chu-Chu O.
    Djitte, Ngalla
    Minjibir, Maaruf S.
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [2] Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings
    CE Chidume
    JN Ezeora
    Fixed Point Theory and Applications, 2014
  • [3] Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings
    Chidume, C. E.
    Ezeora, J. N.
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [4] ITERATIVE ALGORITHM FOR FIXED POINTS OF MULTI-VALUED PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES
    Chidume, C. E.
    Chidume, C. O.
    Djitte, N.
    Minjibir, M. S.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (02) : 241 - 255
  • [5] A Reflected Inertial Krasnoselskii-Type Algorithm for Lipschitz Pseudo-Contractive Mappings
    A. Moudafi
    Bulletin of the Iranian Mathematical Society, 2018, 44 : 1109 - 1115
  • [6] A Reflected Inertial Krasnoselskii-Type Algorithm for Lipschitz Pseudo-Contractive Mappings
    Moudafi, A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (04) : 1109 - 1115
  • [7] Convergence theorems for finite family of a general class of multi-valued strictly pseudo-contractive mappings
    Chidume, Charles E.
    Okpala, Mmaduabuchi E.
    Bello, Abdulmalik U.
    Ndambomve, Patrice
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [8] Convergence theorems for finite family of a general class of multi-valued strictly pseudo-contractive mappings
    Charles E Chidume
    Mmaduabuchi E Okpala
    Abdulmalik U Bello
    Patrice Ndambomve
    Fixed Point Theory and Applications, 2015
  • [9] Fixed point iteration for a countable family of multi-valued strictly pseudo-contractive-type mappings
    Chidume, C. E.
    Okpala, M. E.
    SPRINGERPLUS, 2015, 4
  • [10] ITERATIVE APPROXIMATION OF FIXED-POINTS OF LIPSCHITZIAN STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
    CHIDUME, CE
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (02) : 283 - 288
12345