Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

被引：0

作者：

Ezugorie, Ikechukwu Godwin ^{[1
]}

Ugwunnadi, Godwin Chidi ^{[2
,4
]}

Ofoedu, Eric Uwadiegwu ^{[3
]}

Aphane, Maggie ^{[4
]}

机构：

[1] Enugu State Univ Sci & Technol, Dept Math, Enugu, Nigeria

[2] Univ Eswatini, Dept Math, Private 4,Kwaluseni M201, Kwaluseni, Eswatini

[3] Nnamdi Azikiwe Univ, Dept Math, Awka, Nigeria

[4] Sefako Makgato Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Pretoria, South Africa

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

variational inclusion problem; monotone and inverse mappings; Banach spaces; strong convergence; STRONG-CONVERGENCE; ITERATIVE METHOD; ALGORITHM; SUM; ZERO;

D O I：

10.28924/2291-8639-22-2024-210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study accelerated Halpern-type iterative method for finding zero solution of sum of two monotone operators which solves variational inequality problem of inverse strongly monotone mapping in 2-uniformly convex and uniformly smooth real Banach spaces. The strong convergence of our proposed method is establish under some standard conditions imposed on parameters. Our theorems generalize many recently announced results in the literature.

引用

页数：19

共 50 条

[21] Inertial split projection and contraction method for pseudomonotone variational inequality problem in Banach spaces
Maluleka, Rose
Ugwunnadi, G. C.
Aphane, M.
Abass, H. A.
Khan, A. R.
CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (01) : 99 - 120
[22] Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
Taiwo, A.
Alakoya, T. O.
Mewomo, O. T.
NUMERICAL ALGORITHMS, 2021, 86 (04) : 1359 - 1389
[23] An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
Prasit Cholamjiak
Suthep Suantai
Pongsakorn Sunthrayuth
Banach Journal of Mathematical Analysis, 2020, 14 : 20 - 40
[24] Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces
Ogwo, Grace N.
Alakoya, Timilehin O.
Mewomo, Oluwatosin T.
DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 193 - 216
[25] 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
[26] ONLINEAR VARIATIONAL INEQUALITIES AND MAXIMAL MONOTONE MAPPINGS IN BANACH SPACES
BROWDER, FE
MATHEMATISCHE ANNALEN, 1969, 183 (03) : 213 - &
[27] (H, φ)-η-monotone operators in Banach spaces with an application to variational inclusions
Luo, Xue-ping
Huang, Nan-jing
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1131 - 1139
[28] ON THE EXISTENCE AND APPROXIMATION OF SOLUTIONS FOR BILEVEL VECTOR VARIATIONAL INEQUALITIES IN BANACH SPACES
Chadli, O.
Mohapatra, R. N.
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2020, 4 (01): : 135 - 151
[29] An inertial method for a solution of split equality of monotone inclusion and the f-fixed point problems in Banach spaces
Zegeye, Solomon Bekele
Zegeye, Habtu
Sangago, Mengstu Goa
Boikanyo, Oganeditse A.
Woldeamanuel, Sebsibe Teferi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 2884 - 2905
[30] Hybrid inertial proximal algorithm for the split variational inclusion problem in Hilbert spaces with applications
Chuang, Chih-Sheng
OPTIMIZATION, 2017, 66 (05) : 777 - 792

← 1 2 3 4 5 →