Some results on systems of quasi-variational inclusion problems and systems of generalized quasi-variational inclusion problems

DOI10.1016/j.na.2009.06.084zbMath1179.49012OpenAlexW2064120981MaRDI QIDQ1049480

Lai-Jiu Lin

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.084

zbMATH Keywords

system of KKM theoremsystem of quasi-equilibrium problemsystems of generalized quasi-variational inclusion (disclusion) problemssystems of quasi-KKM theoremsystems of quasi-variational inclusion (disclusion) problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

• Existence of equilibria for multivalued mappings and its application to vectorial equilibria
• A generalization of Tychonoff's fixed point theorem
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• Variational inclusions problems with applications to Ekeland's variational principle, fixed point and optimization problems
• The studies of systems of variational inclusions problems and variational disclusions problems with applications
• Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint
• Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems
• KKM type theorems and coincidence theorems with applications to the existence of equilibria
• Collective fixed points and maximal elements with applications to abstract economies
• Systems of nonempty intersection theorems with applications
• Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems
• Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems
• Existence theorems of systems of variational inclusion problems with applications
• The study of KKM theorems with applications to vector equilibrium problems and implict vector variational inequalities problems
• Generalized equations and their solutions, Part I: Basic theory
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• Fixed points of compact multifunctions
• A new class of generalized set-valued implicit variational inclusions in Banach spaces with an application

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