GEOMETRIC INEQUALITIES FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS IN CERTAIN BANACH SPACES

被引：1
|
作者：
Adamu, A. [1 ,2 ]
Chidume, C. E. [3 ]
Kitkuan, D. [4 ]
Kumam, P. [2 ,5 ]
机构：
[1] Near East Univ, Operat Res Ctr Healthcare, Nicosia, Turkiye
[2] King Mongkuts Univ Technol Thonburi, Ctr Excellence Theoret & Computat Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok, Thailand
[3] African Univ Sci & Technol, Math Inst, Abuja, Nigeria
[4] Rambhai Barni Rajabhat Univ, Fac Sci & Technol, Dept Math, Chanthaburi 22000, Thailand
[5] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Fixed Point Res Lab,Fixed Point Theory & Applicat, 126 Pracha Uthit Rd, Bangkok 10140, Thailand
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 02期
关键词：
Relatively nonexpansive mapping; Subgradient method; Variational inequality; STRONG-CONVERGENCE; PROJECTION METHOD; MAPPINGS; ALGORITHM;
D O I：
10.23952/jnva.7.2023.2.07
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop some new geometric inequalities in p-uniformly convex and uni-formly smooth real Banach spaces with p > 1. We use the inequalities as tools to obtain the strong convergence of the sequence generated by a subsgradient method to a solution that solves fixed point and variational inequality problems. Furthermore, the convergence theorem established can be applica-ble in, for example, Lp(& omega;), where & omega; C R is bounded set and lp(R) for p E (2, & INFIN;). Finally, numerical implementations of the proposed method in the real Banach space L5([-1,1]) are presented.
引用
收藏
页码：267 / 278
页数：12
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