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Fixed point theory. --- Rotational motion --- Mathematical models. --- Point fixe, Théorème du. --- Mouvement rotatoire. --- Rotational motion.
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Mathematics --- Fixed point theory --- Théorème du point fixe --- Periodicals. --- Périodiques --- Point fixe, Théorème du --- Mathematical Sciences --- Applied Mathematics --- Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics)
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This is the only book that deals comprehensively with fixed point theorems overall of mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.
Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Fixed point theory --- 517.98 --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Point fixe, Théorème du. --- Point fixe, Théorème du.
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Convergence --- Convergentie --- Fixed point theory --- Homotopie --- Homotopy theory --- Point fixe [Théorème du ] --- Theorie van het vaste punt --- Théorème du point fixe --- -Fixed point theory --- -Homotopy theory --- -#TELE:SISTA --- Deformations, Continuous --- Topology --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Functions --- Congresses --- #TELE:SISTA --- Algorithmes --- Topologie algébrique --- Fixed point theory - Congresses --- Homotopy theory - Congresses --- Convergence - Congresses
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Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).
Fixed point theory --- Game theory --- Jeux [Théorie des ] --- Point fixe [Théorème du ] --- Speltheorie --- Theorie van het vaste punt --- Théorie des jeux --- Théorème du point fixe --- Gröbner bases --- Economic theory. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Economic theory --- Political economy --- Social sciences --- Economic man
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Symplectic manifolds. --- Topology. --- Variétés symplectiques --- Topologie --- Varietes symplectiques. --- Topologie. --- 515.16 --- 515.16 Topology of manifolds --- Topology of manifolds --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Manifolds, Symplectic --- Geometry, Differential --- Manifolds (Mathematics) --- Differential geometry --- Differential topology --- Differential geometry. Global analysis --- Chimie topologique --- Algèbre linéaire --- Coloriage --- Géométrie algébrique --- Fonctions invexes --- Analyse ultramétrique --- Anneaux topologiques --- Applications (mathématiques) --- Atiyah-Singer, Théorème d' --- Banach, Espaces de --- Catégories (mathématiques) --- Coincidence, Théorie de la (mathématiques) --- Compactifications --- Dimension, Théorie de la (topologie) --- Dualité, Principe de (mathématiques) --- Dynamique topologique --- Ensembles amas, Théorie des --- Ensembles boréliens --- Espaces de proximité --- Espaces localement compacts --- Espaces métriques --- Espaces topologiques --- Espaces uniformes --- Espaces vectoriels topologiques --- Forme, Théorie de la (topologie) --- Graphes, Théorie des --- Graphes topologiques, Théorie des --- Groupes topologiques --- Hewitt-Nachbin, Espaces de --- Homotopie --- Isométrie (mathématiques) --- Jeux de stratégie (mathématiques) --- Plongements (mathématiques) --- Plongements topologiques --- Point fixe, Théorème du --- Polytopes --- Relèvement (mathématiques) --- Réseaux (mathématiques) --- Rétractes, Théorie des --- Semigroupes topologiques --- Simplexes (mathématiques) --- Topologie algébrique --- Topologie combinatoire --- Topologie de l'espace métrique --- Topologie différentielle --- Topologie ensembliste --- Transformations, Groupes de --- Treillis, Théorie des --- Variétés (mathématiques) --- Variétés topologiques --- Topologie linéaire par morceaux --- Théorie des ensembles --- Géométrie --- Polyèdres --- Géométrie symplectique --- Géométrie différentielle --- mathématiques --- Symplectic manifolds --- Topology --- Varietes symplectiques --- Géometrie différentielle globale --- Géometrie symplectique
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