VARIATIONAL INEQUALITIES GOVERNED BY STRONGLY PSEUDOMONOTONE VECTOR FIELDS ON HADAMARD MANIFOLDS

Luong Nguyen (luonghdugmail.com)
Nguyen Thu (nguyenthuhdugmail.com)
Nguyen An (nguyenthaianhueuni.edu.vn)

Abstract: We consider variational inequalities governed by strongly pseudomonotone vec- tor fields on Hadamard manifolds. The existence and uniqueness results of the solution, linear convergence, error estimates and finite convergence for sequences generated by a mod- ified projection method for solving variational inequalities are investigated. Some examples and numerical experiments are also given to illustrate our results.

Keywords: Variational inequalities, Hadamard manifolds, Strongly pseudomonotone, Modi- fied projection method, Linear conditioning, Finite convergence.

Category 1: Complementarity and Variational Inequalities

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Entry Submitted: 05/23/2021
Entry Accepted: 05/23/2021
Entry Last Modified: 05/23/2021

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