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- Title
Modified Tseng Method for Solving Pseudomonotone Variational Inequality Problem in Banach Spaces.
- Authors
Maluleka, Rose; Ugwunnadi, Godwin Chidi; Aphane, Maggie; Abass, Hammed A.; Khan, Abdul Rahim
- Abstract
This article examines the process for solving the fixed-point problem of Bregman strongly nonexpansive mapping as well as the variational inequality problem of the pseudomonotone operator. Within the context of p-uniformly convex real Banach spaces that are also uniformly smooth, we introduce a modified Halpern iterative technique combined with an inertial approach and Tseng methods for finding a common solution of the fixed-point problem of Bregman strongly nonexpansive mapping and the pseudomonotone variational inequality problem. Using our iterative approach, we develop a strong convergence result for approximating the solution of the aforementioned problems. We also discuss some consequences of our major finding. The results presented in this paper complement and build upon many relevant discoveries in the literature.
- Subjects
BANACH spaces; NONEXPANSIVE mappings; PROBLEM solving
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 3, p363
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16030363