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This book is devoted to a detailed study of the subgradient projection method and its variants for convex optimization problems over the solution sets of common fixed point problems and convex feasibility problems. These optimization problems are investigated to determine good solutions obtained by different versions of the subgradient projection algorithm in the presence of sufficiently small computational errors. The use of selected algorithms is highlighted including the Cimmino type subgradient, the iterative subgradient, and the dynamic string-averaging subgradient. All results presented are new. Optimization problems where the underlying constraints are the solution sets of other problems, frequently occur in applied mathematics. The reader should not miss the section in Chapter 1 which considers some examples arising in the real world applications. The problems discussed have an important impact in optimization theory as well. The book will be useful for researches interested in the optimization theory and its applications.

Mathematical optimization. --- Operations research. --- Management science. --- Numerical analysis. --- Optimization. --- Operations Research, Management Science. --- Numerical Analysis. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Optimització matemàtica --- Teoria del punt fix --- Investigació operativa --- Anàlisi numèrica --- Mètodes numèrics --- Algorismes --- Anàlisi matemàtica --- Teoria de l'aproximació --- Anàlisi d'error (Matemàtica) --- Anàlisi d'intervals (Matemàtica) --- Càlculs numèrics --- Equacions diferencials estocàstiques --- Integració numèrica --- Interpolació (Matemàtica) --- Mètodes de Galerkin --- Mètode de Montecarlo --- Mètode dels elements finits --- Mètodes iteratius (Matemàtica) --- Nomografia (Matemàtica) --- Rutes aleatòries (Matemàtica) --- Solucions numèriques --- Investigació --- Assignació de recursos --- Mètodes de simulació --- Programació (Matemàtica) --- Teoria de cues --- Enginyeria de sistemes --- Teorema del punt fix --- Operadors no lineals --- Grau topològic --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Anàlisi de sistemes --- Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics)