Some new deterministic and random variational inequalities and their applications

DOI10.1155/S1048953395000347zbMath0838.47048OpenAlexW2008505077MaRDI QIDQ1908331

Jean-Marc Roy, George Xian-Zhi Yuan

Publication date: 30 May 1996

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47407

zbMATH Keywords

random variational inequalityrandom fixed point theoremsrandom best approximationgeneralized KKM mapping\(\gamma\)-generalized quasi-convexexistence theorem for saddle pointsnon-compact deterministic variational inequalityrandom version of the Fan's best approximation theorem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Set-valued maps in general topology (54C60) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Operator theory in probabilistic metric linear spaces (47S50)

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