Strict feasibility of variational inequalities in reflexive Banach spaces

DOI10.1007/s10114-005-0918-5zbMath1126.47049OpenAlexW1984995000MaRDI QIDQ884934

Xiu Zhen Mao, Mi Zhou, Yi Ran He

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0918-5

zbMATH Keywords

variational inequalitiesstrict feasibilitybarrier conestably properly quasimonotone mappingswell-positioned sets

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued operators (47H04)

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Feasibility-solvability theorems for generalized vector equilibrium problem in reflexive Banach spaces ⋮ A characterization of nonemptiness and boundedness of the solution sets for equilibrium problems ⋮ Quasi-strict feasibility of generalized mixed variational inequalities in reflexive Banach spaces ⋮ Well-posedness by perturbations of generalized mixed variational inequalities in Banach spaces ⋮ A variational approach to norm attainment of some operators and polynomials ⋮ Strict feasibility and stable solvability of bifunction variational inequalities ⋮ Strict feasibility for generalized mixed variational inequality in reflexive Banach spaces ⋮ Strict feasibility of pseudomonotone set-valued variational inequalities ⋮ Strict feasibility of variational inclusion problems in reflexive Banach spaces ⋮ Strict feasibility and solvability for vector equilibrium problems in reflexive Banach spaces ⋮ P-strict feasibility of bifunction variational inequalities in reflexive Banach spaces ⋮ On the nonemptiness and compactness of the solution sets for vector variational inequalities ⋮ Stability analysis of set-valued inverse variational inequalities in reflexive Banach spaces ⋮ Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem ⋮ Well-posedness by perturbations of mixed variational inequalities in Banach spaces ⋮ Solvability of generalized variational inequality problems for unbounded sets in reflexive Banach spaces

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