The forward–backward–forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

RI Boţ, ER Csetnek, PT Vuong - European Journal of Operational Research, 2020 - Elsevier
Tseng's forward–backward–forward algorithm is a valuable alternative for Korpelevich's
extragradient method when solving variational inequalities over a convex and closed set …

[PDF][PDF] RECENT APPLICATIONS OF THE FAN-KKM THEOREM (Nonlinear Analysis and Convex Analysis)

S Park - 数理解析研究所講究録, 2013 - repository.kulib.kyoto-u.ac.jp
In this review, firstly, we recall Ky Fan's contributions to the KKM theory based on his
celebrated 1961 KKM lemma (or theFan-KKM theorem). Secondly, we introduce relatively …

General variational inequalities: existence of solutions, Tikhonov-Type regularization, and well-posedness

T Van Nghi, NN Tam - Acta Mathematica Vietnamica, 2022 - Springer
In this paper, we present necessary and sufficient conditions for existence and uniqueness
of solutions of general variational inequalities (GVIs). A Tikhonov-type regularization method …

Existence and stability of solutions to inverse variational inequality problems

Y Han, N Huang, J Lu, Y Xiao - Applied Mathematics and Mechanics, 2017 - Springer
In this paper, two new existence theorems of solutions to inverse variational and quasi-
variational inequality problems are proved using the Fan-Knaster-Kuratowski-Mazurkiewicz …

Minty lemma for inverted vector variational inequalities

BS Lee, Salahuddin - Optimization, 2017 - Taylor & Francis
In this paper, we introduce Stampacchia-type inverted vector variational inequalities and
Minty-type inverted vector variational inequalities and discuss Minty lemma for the …

[HTML][HTML] Multivalued variational inequalities and coincidence point results

S László - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
In this paper, we establish some existence results of the solutions for several multivalued
variational inequalities involving elements belonging to a class of operators that was …

Existence of solutions of inverted variational inequalities

S László - Carpathian Journal of Mathematics, 2012 - JSTOR
In this paper we introduce two new generalized variational inequalities and we give some
existence results of the solutions for these variational inequalities involving operators …

Existence of solutions for a variational inequality on the half-line

T Moussaoui, D O'Regan - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 43 (2017), No. 1, pp. 223–237 …

On the existence theorems of solutions for generalized vector variational inequalities

S Chang, Salahuddin, G Wang - Journal of Inequalities and Applications, 2015 - Springer
On the existence theorems of solutions for generalized vector variational inequalities | Journal of
Inequalities and Applications Skip to main content SpringerLink Account Menu Find a journal …

A common fixed point theorem with applications

RP Agarwal, M Balaj, D O'Regan - Journal of Optimization Theory and …, 2014 - Springer
In this paper, we establish a common fixed point theorem for a family of self set-valued
mappings on a compact and convex set in a locally convex topological vector space. As …