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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 Mathe...
This book contains expanded versions of the talks given at the conference held in honour of professor Ky Fan in California in 1985, as well as papers on nonlinear and convex analysis as contributions to Ky Fan. It also includes a list of publications by Ky Fan.
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This book serves as a practical guide for the use of stereotactic body radiation therapy in clinics. On the basis of more than 10 years of clinical experience with lung cancer, liver cancer and other cancers, a remarkable volume of knowledge has been accumulated. At the same time, great progress in techniques has been achieved. Various new fixing apparatuses, new respiratory regulation techniques, new dose fractionation schedules and new image-guided radiation therapy machines have been developed. This book reviews the history of those developments and reports on various types of toxicities. Review of recent clinical studies is also included. The authors were key members of the JCOG 0403 cli...
This book illuminates the characteristics of the Japanese economy comprehensively and analyses how and why they have been changing. The contributors to this fifteen-paper volume are internationally-known and leading researchers of the Japanese economy. Following the overview chapter, the book covers such areas as the Japanese firm, the labour market, consumption and saving patterns, financial markets, macroeconomic policies and international economic relations.
Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no ...
This work is dedicated to Professor V. Lakshmikantham on the occasion of his 80th birthday. The volumes consist of 45 research papers from distinguished experts from a variety of research areas. Topics include monotonicity and compact methods, blow up and global existence for hyperbolic problems, dynamic systems on time scales, maximum monotone mappings, fixed point theory, quasivalued elliptic problems including mixed BVP's, impulsive and evolution inclusions, iterative processes, Morse theory, hemivariational inequalities, Navier-Stokes equations, multivalued BVP's, various aspects of control theory, integral operators, semigroup theories, modelling of real world phenomena, higher order parabolic equations, invariant measures, superlinear problems and operator equations.