2011•Journal of Sichuan University of Science & EngineeringRequires access

Relatively Monotone Variational-like Inequalities over Product Sets

Feng Yang

Abstract

The relatively monotone variational-like inequalities over product sets in Banach spaces are introduced.Some definitions of new monotonicity concepts for the variational-like inequalities are presented,and the characterizations of solutions set and existence of solutions for the variational-like inequalities are investigated.The corresponding results of Konnov's in reference are extended.

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Key concepts: Variational inequality, Monotonic function, Monotone polygon, Mathematics, Banach space, Product (mathematics), Inequality, Set (abstract data type)