Nonlinear Analysis And Optimization I
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Author |
: Themistocles M. Rassias |
Publisher |
: Springer Nature |
Total Pages |
: 484 |
Release |
: 2021-02-26 |
ISBN-10 |
: 9783030617325 |
ISBN-13 |
: 3030617327 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Nonlinear Analysis and Global Optimization by : Themistocles M. Rassias
This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.
Author |
: Jonathan Borwein |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 316 |
Release |
: 2010-05-05 |
ISBN-10 |
: 9780387312569 |
ISBN-13 |
: 0387312560 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Convex Analysis and Nonlinear Optimization by : Jonathan Borwein
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.
Author |
: Simeon Reich |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 290 |
Release |
: 2010 |
ISBN-10 |
: 9780821848340 |
ISBN-13 |
: 0821848348 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Nonlinear Analysis and Optimization I by : Simeon Reich
This volume is the first of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in these important fields of mathematics. This volume contains articles on nonlinear analysis. Topics covered include the convex feasibility problem, fixed point theory, mathematical biology, Mosco stability, nonexpansive mapping theory, nonlinear partial differential equations, optimal control, the proximal point algorithm and semigroup theory. The companion volume (Contemporary Mathematics, Volume 514) is devoted to optimization. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: A. S. Ackleh, K. Deng, and Q. Huang -- Existence-uniqueness results and difference approximations for an amphibian juvenile-adult model; S. Aizicovici, N. S. Papageorgiou, and V. Staicu -- Three nontrivial solutions for $p$-Laplacian Neumann problems with a concave nonlinearity near the origin; V. Barbu -- Optimal stabilizable feedback controller for Navier-Stokes equations; H. H. Bauschke and X. Wang -- Firmly nonexpansive and Kirszbraun-Valentine extensions: A constructive approach via monotone operator theory; R. E. Bruck -- On the random product of orthogonal projections in Hilbert space II; D. Butnariu, E. Resmerita, and S. Sabach -- A Mosco stability theorem for the generalized proximal mapping; A. Cegielski -- Generalized relaxations of nonexpansive operators and convex feasibility problems; Y. Censor and A. Segal -- Sparse string-averaging and split common fixed points; T. Dominguez Benavides and S. Phothi -- Genericity of the fixed point property for reflexive spaces under renormings; K. Goebel and B. Sims -- Mean Lipschitzian mappings; T. Ibaraki and W. Takahashi -- Generalized nonexpansive mappings and a proximal-type algorithm in Banach spaces; W. Kaczor, T. Kuczumow, and N. Michalska -- The common fixed point set of commuting nonexpansive mapping in Cartesian products of weakly compact convex sets; L. Leu'tean -- Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces; G. Lopez, V. Martin-Marquez, and H.-K. Xu -- Halpern's iteration for nonexpansive mappings; J. W. Neuberger -- Lie generators for local semigroups; H.-K. Xu -- An alternative regularization method for nonexpansive mappings with applications. (CONM/513)
Author |
: Andrzej Ruszczynski |
Publisher |
: Princeton University Press |
Total Pages |
: 463 |
Release |
: 2011-09-19 |
ISBN-10 |
: 9781400841059 |
ISBN-13 |
: 1400841054 |
Rating |
: 4/5 (59 Downloads) |
Synopsis Nonlinear Optimization by : Andrzej Ruszczynski
Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization.
Author |
: Alfred Auslender |
Publisher |
: North Holland |
Total Pages |
: 196 |
Release |
: 1987 |
ISBN-10 |
: STANFORD:36105032370194 |
ISBN-13 |
: |
Rating |
: 4/5 (94 Downloads) |
Synopsis Nonlinear Analysis and Optimization by : Alfred Auslender
This study collects the papers presented at the Nonlinear Analysis and Optimization conference held at the Center for Operations Research and Econometrics (CORE) in Louvain-la-Neuve, Belgium. It was the firm belief of the organizers of the meeting that there is a natural interaction between the methods used in nonlinear analysis and the problems encountered in optimization, and that gathering the papers into one book would be beneficial for both parties concerned. The papers are mainly concerned with the following themes: nonlinear analysis, sensitivity (stability) analysis and algorithms in nonlinear programming (for smooth, nonsmooth and global problems).
Author |
: Aryē Leizarowitz |
Publisher |
: |
Total Pages |
: |
Release |
: 2010 |
ISBN-10 |
: LCCN:2009051904 |
ISBN-13 |
: |
Rating |
: 4/5 (04 Downloads) |
Synopsis Nonlinear Analysis and Optimization by : Aryē Leizarowitz
Author |
: Beltrami |
Publisher |
: Academic Press |
Total Pages |
: 256 |
Release |
: 1970-02-28 |
ISBN-10 |
: 9780080955735 |
ISBN-13 |
: 0080955738 |
Rating |
: 4/5 (35 Downloads) |
Synopsis An Algorithmic Approach to Nonlinear Analysis and Optimization by : Beltrami
An Algorithmic Approach to Nonlinear Analysis and Optimization
Author |
: Qamrul Hasan Ansari |
Publisher |
: Springer |
Total Pages |
: 362 |
Release |
: 2014-06-05 |
ISBN-10 |
: 9788132218838 |
ISBN-13 |
: 8132218833 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Nonlinear Analysis by : Qamrul Hasan Ansari
Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.
Author |
: Simeon Reich |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 314 |
Release |
: 2010 |
ISBN-10 |
: 9780821848357 |
ISBN-13 |
: 0821848356 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Nonlinear Analysis and Optimization II by : Simeon Reich
This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)
Author |
: Amir Beck |
Publisher |
: SIAM |
Total Pages |
: 286 |
Release |
: 2014-10-27 |
ISBN-10 |
: 9781611973655 |
ISBN-13 |
: 1611973651 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Introduction to Nonlinear Optimization by : Amir Beck
This book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization?theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems?and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. Readers will find more than 170 theoretical, algorithmic, and numerical exercises that deepen and enhance the reader's understanding of the topics. The author includes offers several subjects not typically found in optimization books?for example, optimality conditions in sparsity-constrained optimization, hidden convexity, and total least squares. The book also offers a large number of applications discussed theoretically and algorithmically, such as circle fitting, Chebyshev center, the Fermat?Weber problem, denoising, clustering, total least squares, and orthogonal regression and theoretical and algorithmic topics demonstrated by the MATLAB? toolbox CVX and a package of m-files that is posted on the book?s web site.