Download Equilibrium Problems and Variational Models by Qamrul Hasan Ansari, Jen-Chih Yao (auth.), Patrizia Daniele, PDF

By Qamrul Hasan Ansari, Jen-Chih Yao (auth.), Patrizia Daniele, Franco Giannessi, Antonino Maugeri (eds.)

ISBN-10: 1461302390

ISBN-13: 9781461302391

ISBN-10: 1461379555

ISBN-13: 9781461379553

The quantity, dedicated to variational research and its purposes, collects chosen and refereed contributions, which offer an summary of the sector. The assembly of the name "Equilibrium difficulties and Variational Models", which used to be held in Erice (Sicily) within the interval June 23 - July 2 2000, was once the celebration of the presentation of a few of those papers; different effects are a final result of a fruitful and confident surroundings created through the assembly. New effects, which amplify the sector of program of variational research, are offered within the e-book; they care for the vectorial research, time established variational research, precise penalization, excessive order deriva­ tives, geometric facets, distance capabilities and log-quadratic proximal technique. the hot theoretical effects enable one to enhance in a outstanding method the examine of vital difficulties bobbing up from the technologies, as continuum version of transportation, unilateral difficulties, multicriteria spatial fee versions, community equilibrium difficulties and so on. As famous within the earlier e-book "Equilibrium difficulties: Nonsmooth Optimization and Variational Inequality Models", edited by means of F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer educational Publishers, Vol. fifty eight (2001), the development received by means of variational research has authorized to han­ dle difficulties whose equilibrium stipulations will not be got via the mini­ mization of a useful. those difficulties obey a extra real looking equilibrium expressed by way of a generalized orthogonality (complementarity) con­ dition, which enriches our wisdom of the equilibrium behaviour. additionally this quantity offers very important examples of this formulation.

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P. McCormick, "Nonlinear Programming: Se- quential Unconstrained Minimization Techniques", Classics in Applied Mathematics, SIAM, Philadelphia, 1990. The Log-Quadratic Proximal Methodology in Convex... 49 [34] D. Gabay, "Applications of the method of multipliers to variational inequalities," in: M. Fortin and R. , Augmented Lagrangian Methods: Applications to the Solution of Boundary- Valued Problems (North-Holland, Amsterdam, 1983) pp. 299-331. [35] D. Gabay and B. Mercier, "A dual algorithm for the solution of nonlinear variational problems via finite-element approximations," Compo Math.

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Soc. Math. France 93, 1965, 273-299. [53] Y. Nesterov, A. Nemirovski, "Interior point polynomial algorithms in convex programming", SIAM Publications, Philadelphia, PA, 1994. [54] R. A. Polyak, "Modified barrier functions (theory and methods)", Mathematical Programming, 54, 1992, 177-222. [55] R. A. Polyak, "Nonlinear rescaling vs. smoothing technique in con- strained optimization". Research report, George Mason University, September 2000. The Log-Quadratic Proximal Methodology in Convex... 51 [56) R A.

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Equilibrium Problems and Variational Models by Qamrul Hasan Ansari, Jen-Chih Yao (auth.), Patrizia Daniele, Franco Giannessi, Antonino Maugeri (eds.)


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