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Recent Developments in Optimization Theory and Nonlinear Analysis
 
Edited by: Yair Censor University of Haifa, Haifa, Israel
Simeon Reich The Technion —Israel Institute of Technology, Haifa, Israel
Recent Developments in Optimization Theory and Nonlinear Analysis
eBook ISBN:  978-0-8218-7795-1
Product Code:  CONM/204.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Recent Developments in Optimization Theory and Nonlinear Analysis
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Recent Developments in Optimization Theory and Nonlinear Analysis
Edited by: Yair Censor University of Haifa, Haifa, Israel
Simeon Reich The Technion —Israel Institute of Technology, Haifa, Israel
eBook ISBN:  978-0-8218-7795-1
Product Code:  CONM/204.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2041997; 278 pp
    MSC: Primary 35; 47; 49; 58; 65; 90;

    This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical Society-Israel Mathematical Union Meeting which took place at the Hebrew University of Jerusalem in May 1995. Most of the papers in this book originated from the lectures delivered at this special session. In addition, some participants who did not present lectures and invited speakers who were unable to attend contributed their work.

    The fields of optimization theory and nonlinear analysis continue to be very active. This book presents not only the wide spectrum and diversity of the results, but also their manifold connections to other areas, such as differential equations, functional analysis, operator theory, calculus of variations, numerical analysis, and mathematical programming.

    In reading this book one encounters papers that deal, for example, with convex, quasiconvex and generalized convex functions, fixed and periodic points, fractional-linear transformations, moduli of convexity, monotone operators, Morse lemmas, Navier-Stokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the Leray-Schauder degree, the turnpike property, and variational inequalities.

    Readership

    Graduate students, research mathematicians, operations researchers, engineers, and physicists interested in optimization theory and nonlinear analysis.

  • Table of Contents
     
     
    • Articles
    • Heinz H. Bauschke, Jonathan M. Borwein and Adrian S. Lewis — The method of cyclic projections for closed convex sets in Hilbert space [ MR 1442992 ]
    • Adi Ben-Israel — Newton’s method with modified functions [ MR 1442993 ]
    • Åke Björck — Numerical stability of methods for solving augmented systems [ MR 1442994 ]
    • Dan Butnariu and Alfredo N. Iusem — Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators [ MR 1442995 ]
    • F. H. Clarke, Yu. S. Ledyaev and R. J. Stern — Fixed point theory via nonsmooth analysis [ MR 1442996 ]
    • Zhengyuan Guan and Athanassios G. Kartsatos — Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces [ MR 1442997 ]
    • M. J. Holst and E. S. Titi — Determining projections and functionals for weak solutions of the Navier-Stokes equations [ MR 1442998 ]
    • Alexander Ioffe and Efim Schwartzman — Parametric Morse lemmas for $C^{1,1}$-functions [ MR 1442999 ]
    • Victor Khatskevich and Leonid Zelenko — The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations [ MR 1443000 ]
    • M. Zuhair Nashed and Otmar Scherzer — Stable approximation of nondifferentiable optimization problems with variational inequalities [ MR 1443001 ]
    • J. W. Neuberger — Sobolev gradients and boundary conditions for partial differential equations [ MR 1443002 ]
    • Roger D. Nussbaum — A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps [ MR 1443003 ]
    • A. M. Rubinov and B. M. Glover — On generalized quasiconvex conjugation [ MR 1443004 ]
    • S. Simons — Subdifferentials of convex functions [ MR 1443005 ]
    • Alexander J. Zaslavski — Existence and structure of optimal solutions of variational problems [ MR 1443006 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2041997; 278 pp
MSC: Primary 35; 47; 49; 58; 65; 90;

This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical Society-Israel Mathematical Union Meeting which took place at the Hebrew University of Jerusalem in May 1995. Most of the papers in this book originated from the lectures delivered at this special session. In addition, some participants who did not present lectures and invited speakers who were unable to attend contributed their work.

The fields of optimization theory and nonlinear analysis continue to be very active. This book presents not only the wide spectrum and diversity of the results, but also their manifold connections to other areas, such as differential equations, functional analysis, operator theory, calculus of variations, numerical analysis, and mathematical programming.

In reading this book one encounters papers that deal, for example, with convex, quasiconvex and generalized convex functions, fixed and periodic points, fractional-linear transformations, moduli of convexity, monotone operators, Morse lemmas, Navier-Stokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the Leray-Schauder degree, the turnpike property, and variational inequalities.

Readership

Graduate students, research mathematicians, operations researchers, engineers, and physicists interested in optimization theory and nonlinear analysis.

  • Articles
  • Heinz H. Bauschke, Jonathan M. Borwein and Adrian S. Lewis — The method of cyclic projections for closed convex sets in Hilbert space [ MR 1442992 ]
  • Adi Ben-Israel — Newton’s method with modified functions [ MR 1442993 ]
  • Åke Björck — Numerical stability of methods for solving augmented systems [ MR 1442994 ]
  • Dan Butnariu and Alfredo N. Iusem — Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators [ MR 1442995 ]
  • F. H. Clarke, Yu. S. Ledyaev and R. J. Stern — Fixed point theory via nonsmooth analysis [ MR 1442996 ]
  • Zhengyuan Guan and Athanassios G. Kartsatos — Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces [ MR 1442997 ]
  • M. J. Holst and E. S. Titi — Determining projections and functionals for weak solutions of the Navier-Stokes equations [ MR 1442998 ]
  • Alexander Ioffe and Efim Schwartzman — Parametric Morse lemmas for $C^{1,1}$-functions [ MR 1442999 ]
  • Victor Khatskevich and Leonid Zelenko — The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations [ MR 1443000 ]
  • M. Zuhair Nashed and Otmar Scherzer — Stable approximation of nondifferentiable optimization problems with variational inequalities [ MR 1443001 ]
  • J. W. Neuberger — Sobolev gradients and boundary conditions for partial differential equations [ MR 1443002 ]
  • Roger D. Nussbaum — A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps [ MR 1443003 ]
  • A. M. Rubinov and B. M. Glover — On generalized quasiconvex conjugation [ MR 1443004 ]
  • S. Simons — Subdifferentials of convex functions [ MR 1443005 ]
  • Alexander J. Zaslavski — Existence and structure of optimal solutions of variational problems [ MR 1443006 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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