VISCOSITY APPROXIMATION METHOD FOR FIXED POINT OF PSEUDOCONTRACTION MAPPING IN HADAMARD SPACES

被引：0
|
作者：
Ugwunnadi, G. C. [1 ,2 ]
Makukula, Z. G. [1 ]
Khan, A. R. [3 ]
Shehu, Y. [4 ]
机构：
[1] Univ Eswatini, Dept Math, Private Bag 4, ZA-0204 Kwaluseni, Eswatini
[2] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 60, ZA-0204 Pretoria, South Africa
[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
FIXED POINT THEORY | 2023年 / 24卷 / 01期
关键词：
Pseudo-contraction mapping; monotone mappings; fixed point; A convergence; strong convergence; Hadamard space; CONVERGENCE THEOREMS; OPERATORS;
D O I：
10.24193/fpt-ro.2023.1.22
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a viscosity approximation method for finding a nearest fixed point of a continuous pseudo-contraction mapping in a Hadamard space. We applied our result to solve some convex minimization problems. We also present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.
引用
收藏
页码：393 / 412
页数：20
相关论文
共 50 条
  • [31] A viscosity of Cesaro mean approximation method for split generalized equilibrium, variational inequality and fixed point problems
    Deepho, Jitsupa
    Martinez-Moreno, Juan
    Kumam, Poom
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1475 - 1496
  • [32] A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
    Izuchukwu, C.
    Aremu, K. O.
    Mebawondu, A. A.
    Mewomo, O. T.
    APPLIED GENERAL TOPOLOGY, 2019, 20 (01): : 193 - 210
  • [33] A hybrid approximation method for equilibrium, variational inequality and fixed point problems
    Zegeye, Habtu
    Shahzad, Naseer
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (04) : 619 - 630
  • [34] Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces
    Sani Salisu
    Poom Kumam
    Songpon Sriwongsa
    Journal of Inequalities and Applications, 2022
  • [35] Fixed point of multivalued mapping in uniform spaces
    Türkoglu, D
    Fisher, B
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2003, 113 (02): : 183 - 187
  • [36] Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces
    Salisu, Sani
    Kumam, Poom
    Sriwongsa, Songpon
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [37] Common Fixed-Point Theorem and Projection Method on a Hadamard Space
    Kimura, Yasunori
    SYMMETRY-BASEL, 2024, 16 (04):
  • [38] Fixed point of multivalued mapping in uniform spaces
    Duran Türkoglu
    Brian Fisher
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2003, 113 : 183 - 187
  • [39] Shrinking approximation method for solution of split monotone variational inclusion and fixed point problems in Banach spaces
    Akutsaha, F.
    Narain, O. K.
    Abass, H. A.
    Mebawondu, A. A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 825 - 842
  • [40] A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mappings
    Kumam, Poom
    Katchang, Phayap
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 475 - 486
12345