Generalized variational inequalities and fixed point theorems

DOI10.1016/S0362-546X(96)00305-7zbMath0912.49006MaRDI QIDQ4208388

Sehie Park, Byung Gai Kang

Publication date: 16 May 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

variational inequalitiesclosed mapcompact mapconvexly totally boundedfixed point theorem of Idzikupper hemicontinuous multimaps

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items

Convergence theorems of solutions of a generalized variational inequality ⋮ On convex total bounded sets in the space of measurable functions ⋮ Convergence of iterative sequences for fixed point and variational inclusion problems

Cites Work

• On general minimax theorems
• Generalized bi-quasi-variational inequalities
• On a class of generalized variational inequalities and quasi-variational inequalities
• A generalization of generalized quasi-variational inequalities
• Generalized variational inequalities of the Hartman-Stampacchia-Browder type
• A new generalization of the Schauder fixed point theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• Almost Fixed Point Theorems
• A variational inequality in non-compact sets and its applications
• The coincidence problem for compositions of set-valued maps
• Generalized variational inequalities and generalized quasi-variational inequalities
• Generalized variational inequalities and generalized quasi-variational inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item