Systems of variational inclusion problems and differential inclusion problems with applications

DOI10.1007/s10898-008-9359-xzbMath1192.49008OpenAlexW2028792380MaRDI QIDQ835798

Lai-Jiu Lin

Publication date: 31 August 2009

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-008-9359-x

zbMATH Keywords

mathematical program with systems of equilibrium constraintsmathematical program with systems of variational differential inclusion constraintssystems of equilibrium problemssystems of variational differential inclusion problemssystems of variational inclusion problem

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Existence theories for problems in abstract spaces (49J27)

Related Items

Iterative solution of split variational inclusion problem in a real Banach spaces ⋮ An iterative method for solving split monotone variational inclusion and fixed point problems ⋮ Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints ⋮ Systems of generalized quasivariational inclusion problems with applications in \(L\Gamma \)-spaces ⋮ Generalized variational relation problems with applications ⋮ Unnamed Item ⋮ Simultaneous variational relation problems and related applications ⋮ Equivalent forms of a generalized KKM theorem and their applications ⋮ On split inclusion problem and fixed point problem for multi-valued mappings ⋮ A method with inertial extrapolation step for split monotone inclusion problems ⋮ Iterative learning based consensus control for distributed parameter type multi-agent differential inclusion systems with time-delay ⋮ Iterative approximation of solution of split variational inclusion problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-convex-valued differential inclusions in Banach spaces
• Generalized vector quasi-equilibrium problems with applications to common fixed point theorems 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
• Mathematical programming with system of equilibrium constraints
• On the solution sets of differential inclusions
• On the qualitative theory of lower semicontinuous differential inclusions
• Extreme continuous selectors of multivalued maps and their applications
• Generalized abstract economy and systems of generalized vector quasi-equilibrium problems
• 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
• System of generalized vector quasi-equilibrium problems with applications to fixed point theorems for a family of nonexpansive multivalued mappings
• Mathematical programs with equilibrium constraints: the existence of feasible point
• An Existence Theorem in Vector Optimization
• Mathematical Programs with Equilibrium Constraints