A unifying approach to variational relation problems

DOI10.1007/s10957-012-0090-xzbMath1268.49006OpenAlexW2010458957MaRDI QIDQ1935298

Mircea Balaj, Ravi P. Agarwal, Donal O'Regan

Publication date: 14 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0090-x

zbMATH Keywords

fixed-pointquasi-equilibriumvariational relation\(T\)-\(KKM\) relation

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10)

Related Items

Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems ⋮ New existence criteria of the solutions for a variational relation problem ⋮ Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints ⋮ Some generalizations of common fixed point problems with applications ⋮ Existence Theorems for a Variational Relation Problem ⋮ Variational relation problems in a general setting ⋮ On existence and essential stability of solutions of symmetric variational relation problems ⋮ On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems ⋮ Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets ⋮ Variational relation problems: existence of solutions and fixed points of contraction mappings ⋮ Solutions existence for two types of mixed variational relation problems ⋮ A solution method for linear variational relation problems ⋮ Stable analysis of solution set for system of quasivariational relations with applications ⋮ Tykhonov well-posedness for quasi-equilibrium problems ⋮ Existence of extended Nash equilibriums of nonmonetized noncooperative games ⋮ On the existence and stability of solutions of a mixed general type of variational relation problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of solutions for variational relation problems with applications
• Existence result of generalized vector quasiequilibrium problems in locally \(G\)-convex spaces
• On vector quasi-equilibrium problems with set-valued maps
• Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions
• On mixed variational relation problems
• Generalized variational relation problems with applications
• Existence of solutions for generalized vector quasi-equilibrium problems
• Existence of solutions in variational relation problems without convexity
• An abstract problem in variational analysis
• Existence results for set-valued vector quasiequilibrium problems
• Simultaneous variational relation problems and related applications
• Equivalent forms of a generalized KKM theorem and their applications
• Stability of solutions in parametric variational relation problems
• Generalizations of vector quasivariational inclusion problems with set-valued maps
• On some generalized quasi-equilibrium problems
• Generalized quasi-variational inequalities without continuities
• Generalized vector quasi-equilibrium problems.
• On implicit vector variational inequalities
• On the existence of solutions of quasivariational inclusion problems
• Generalized vector equilibrium problems with trifunctions
• On the generalized nonlinear variational inequalities and quasi-variational inequalities
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
• Systems of quasi-variational relations with applications
• MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS
• Some Fixed Point Theorems for Composites of Acyclic Maps
• Generalized vector quasi-equilibrium problems with set-valued mappings
• Fixed points of compact multifunctions