TAILIEUCHUNG - Báo cáo sinh học: " Research Article Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010 Article ID 984074 16 pages doi 2010 984074 Research Article Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints J. Zhang 1 B. Jiang 2 and X. X. Huang3 1 School of Mathematics and Physics Chongqing University of Posts and Telecommunications Chongqing 400065 China 2 Department of Systems Engineering and Engineering Management The Chinese University of Hong Kong Shatin Hong Kong 3 School of Economics and Business Administration Chongqing University Chongqing 400030 China Correspondence should be addressed to X. X. Huang huangxuexiang@ Received 17 March 2010 Accepted 6 July 2010 Academic Editor Lai Jiu Lin Copyright 2010 J. Zhang et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and or sufficient conditions are derived for them. 1. Introduction It is well known that under certain conditions a Nash equilibrium problem can be formulated and solved as a variational inequality problem. A generalized Nash game is a Nash game in which each player s strategy depends on other players strategies 1 . The connection between generalized Nash games and quasivariational inequalities was first recognized by Bensoussan 2 . Recently some researchers 1 3 4 found that mathematical models of many real world problems including some engineering problems can be formulated as certain kinds of variational inequality problems including quasivariational inequality problems. However as noted in 5 compared with variational inequality problems the study on quasivariational inequality problems is still in its infancy in particular only a few .

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