VARIATIONAL INEQUALITIES GOVERNED BY STRONGLY PSEUDOMONOTONE VECTOR FIELDS ON HADAMARD MANIFOLDS
Luong Nguyen (luonghdugmail.com)
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
Entry Submitted: 05/23/2021
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