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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities
Type
JournalPaper
Keywords
Variational inequalities Wiener–Hopf inclusions Iterative algorithm Monotone operators Prox-regularity Convergence analysis
Year
2010
Journal Nonlinear analysis
DOI
Researchers Mohsen Alimohammady ، Javad Balooei ، Yeol Je Cho ، Mehdi Roohi

Abstract

Some new classes of extended general nonconvex set-valued variational inequalities and the extended general Wiener–Hopf inclusions are introduced. By the projection technique, equivalence between the extended general nonconvex set-valued variational inequalities and the fixed point problems as well as the extended general nonconvex Wiener–Hopf inclusions is proved. Then by using this equivalent formulation, we discuss the existence of solutions of the extended general nonconvex set-valued variational inequalities and construct some new perturbed finite step projection iterative algorithms with mixed errors for approximating the solutions of the extended general nonconvex set-valued variational inequalities. We also verify that the approximate solutions obtained by our algorithms converge to the solutions of the extended general nonconvex set-valued variational inequalities. The results presented in this paper extend and improve some known results from the literature.