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Topologia algebraica --- Topologia --- Àlgebres de Hopf --- Grau topològic --- Grups fonamentals (Matemàtica) --- K-teoria --- Homologia --- Successions espectrals (Matemàtica) --- Teoria dels feixos --- Topologia de baixa dimensió

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Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Teoria del punt fix --- Teorema del punt fix --- Operadors no lineals --- Grau topològic

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Science. --- Natural science --- Natural sciences --- Science of science --- Sciences --- Teoria del punt fix --- Teorema del punt fix --- Operadors no lineals --- Grau topològic

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This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(κ) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.

Functional analysis. --- Topology. --- Operator theory. --- Functional Analysis. --- Operator Theory. --- Functional analysis --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Teoria del punt fix --- Teorema del punt fix --- Operadors no lineals --- Grau topològic

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Teoria de l'homotopia --- Topologia algebraica --- Topologia --- Àlgebres de Hopf --- Grau topològic --- Grups fonamentals (Matemàtica) --- K-teoria --- Homologia --- Successions espectrals (Matemàtica) --- Teoria dels feixos --- Topologia de baixa dimensió --- Transformacions (Matemàtica) --- Cirurgia (Topologia) --- Equivalències d'homotopia --- Grups d'homotopia --- Teoria de la forma (Topologia) --- Teoria de la localització --- Deformacions contínues --- Homotopia --- Teoria homotòpica --- Algebraic topology. --- Homotopy theory --- History. --- Topology --- Deformations, Continuous