[图书][B] Mutational and morphological analysis: tools for shape evolution and morphogenesis

JP Aubin - 2012 - books.google.com
The analysis, processing, evolution, optimization and/or regulation, and control of shapes
and images appear naturally in engineering (shape optimization, image processing, visual …

Lagrange multiplier methods for constrained optimization and variational problems in Banach spaces

D Steck - 2018 - opus.bibliothek.uni-wuerzburg.de
This thesis is concerned with a class of general-purpose algorithms for constrained
minimization problems, variational inequalities, and quasi-variational inequalities in Banach …

Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods

C Kanzow, D Steck - SIAM Journal on Optimization, 2019 - SIAM
This paper deals with quasi-variational inequality problems (QVIs) in a generic Banach
space setting. We provide a theoretical framework for the analysis of such problems which is …

Models for growth of heterogeneous sandpiles via Mosco convergence

M Bocea, M Mihăilescu, M Pérez-Llanos… - Asymptotic …, 2012 - content.iospress.com
Models for growth of heterogeneous sandpiles via Mosco convergence Page 1 Asymptotic
Analysis 78 (2012) 11–36 11 DOI 10.3233/ASY-2011-1083 IOS Press Models for growth of …

Pseudocontinuity in optimization and nonzero-sum games

J Morgan, V Scalzo - Journal of optimization Theory and Applications, 2004 - Springer
We enlarge the class of sufficient conditions which guarantee, on the one hand, the
sequential closedness of set-valued functions defined by minimum points and by social …

Optimal control of a quasi-variational obstacle problem

S Adly, M Bergounioux, M Ait Mansour - Journal of Global Optimization, 2010 - Springer
We consider an optimal control where the state-control relation is given by a quasi-
variational inequality, namely a generalized obstacle problem. We give an existence result …

Approximate fixed point theorems in Banach spaces with applications in game theory

R Brânzei, J Morgan, V Scalzo, S Tijs - Journal of mathematical analysis …, 2003 - Elsevier
In this paper some new approximate fixed point theorems for multifunctions in Banach
spaces are presented and a method is developed indicating how to use approximate fixed …

Existence of solutions to bilevel variational problems in Banach spaces

MB Lignola, J Morgan - Equilibrium Problems: Nonsmooth Optimization …, 2001 - Springer
Multilevel Optimization, which became in last years a very extended research field, studies
the optimization problems with equilibrium conditions as constraints. A large number of …

Generalized variational inequalities with pseudomonotone operators under perturbations

MB Lignola, J Morgan - Journal of Optimization Theory and Applications, 1999 - Springer
Variational inequalities and generalized variational inequalities with perturbed operators
and constraints are considered and convergence of solutions to such problems is proved …

[PDF][PDF] Existence for optimization problems with equilibrium constraints in reflexive Banach spaces

MB Lignola, J Morgan - Optimization in economics, finance and …, 2002 - researchgate.net
Solving an optimization problem with equilibrium conditions as constraints arises quite
frequently in the modelling of socio-economic and engineering systems as shown by the …