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Catalogue Information
Field name	Details
Dewey Class	515.64
Title	Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models ([EBook] /) / edited by Franco Giannessi, Antonino Maugeri, Panos M. Pardalos.
Added Personal Name	Giannessi, Franco editor.
	Maugeri, Antonino editor.
	Pardalos, Panos M. editor.
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Springer US, , 2001.
Physical Details	XIV, 304 p. : online resource.
Series	Nonconvex Optimization and Its Applications 1571-568X ; ; 58
ISBN	9780306480263
Summary Note	The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.:
Contents note	On the Numerical Solution of Finite-Dimensional Variational Inequalities by an Interior Point Method -- Fixed Points in Ordered Banach Spaces and Applications to Elliptic Boundary-Value Problems -- A Theorem of the Alternative for Linear Control Systems -- Variational Inequalities for Static Equilibrium Market. Lagrangean Function and Duality -- On Dynamical Equilibrium Problems and Variational Inequalities -- Nonlinear Programming Methods for Solving Optimal Control Problems -- Optimal Flow Pattern in Road Networks -- On the Strong Solvability of a Unilateral Boundary Value Problem for Nonlinear Discontinuous Operators in the Plane -- Most Likely Traffic Equilibrium Route Flows Analysis and Computation -- Existence of Solutions to Bilevel Variational Problems in Banach Spaces -- On the Existence of Solutions to Vector Optimization Problems -- Equilibrium Problems and Variational Inequalities -- Axiomatization for Approximate Solutions in Optimization -- Necessary and Sufficient Conditions of Wardrop Type for Vectorial Traffic Equilibria -- Approximate Solutions and Tikhonov Well-Posedness for Nash Equilibria -- Equilibrium in Time Dependent Traffic Networks with Delay -- New Results on Local Minima and Their Applications -- An Overview on Projection-Type Methods for Convex Large-Scale Quadratic Programs.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b101835
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Calculus of variations . Calculus of variations and optimal control; optimization . Computational Mathematics and Numerical Analysis . Computer mathematics . Computer Science . Discrete Mathematics in Computer Science . Engineering mathematics . Mathematical optimization . Mathematics . Optimization . Authors: Giannessi, Franco . Maugeri, Antonino . Pardalos, Panos M. . Corporate Authors: SpringerLink (Online service) . Series: Nonconvex Optimization and Its Applications . Classification: 515.64 .

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Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

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