View in EDS

A Viscosity‐Type Tseng'S Extragradient Algorithm for Bilevel Split Hierarchical Variational Inequalities With Multiple Output Sets.

Saved in:
Bibliographic Details
Title: A Viscosity‐Type Tseng'S Extragradient Algorithm for Bilevel Split Hierarchical Variational Inequalities With Multiple Output Sets.
Authors: Nnennaya Ogwo, Grace1 (AUTHOR), Opeyemi Alakoya, Timilehin2,3 (AUTHOR), ur Rehman, Habib1 (AUTHOR), Moutari, Salissou3 (AUTHOR), Hussain Khan, Safeer4 (AUTHOR) shkhan@ncat.edu
Source: Mathematical Methods in the Applied Sciences. Oct2025, p1. 20p. 12 Illustrations.
Subject Terms: *VISCOSITY, *VARIATIONAL inequalities (Mathematics), *BILEVEL programming, *MONOTONE operators, *HILBERT space
Abstract: ABSTRACT In this paper, we introduce and study a new class of split inverse problems called bilevel split hierarchical variational inequality problem with multiple output sets in the framework of real Hilbert spaces. We propose a viscosity‐type Tseng's extragradient method for solving this problem when the cost operators are pseudomonotone. Under mild conditions, we obtain a strong convergence result for the proposed algorithm. Finally, we present numerical experiments to illustrate the applicability of our method. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:ABSTRACT In this paper, we introduce and study a new class of split inverse problems called bilevel split hierarchical variational inequality problem with multiple output sets in the framework of real Hilbert spaces. We propose a viscosity‐type Tseng's extragradient method for solving this problem when the cost operators are pseudomonotone. Under mild conditions, we obtain a strong convergence result for the proposed algorithm. Finally, we present numerical experiments to illustrate the applicability of our method. [ABSTRACT FROM AUTHOR]
ISSN:01704214
DOI:10.1002/mma.70225