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Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications. The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm mappings and periodic boundary value problems. The focus then turns to construction of Mawhin's coincidence degree for L-compact mappings, followed by a presentation of a degree theory for mappings of class (S+) and its perturbations with other monotone-type mappings. The final chapter studies the fixed point index theory in a cone of a Banach space and presents a notable new fixed point index for countably condensing maps.Examples and exercises complement each chapter. With its blend of old and new techniques, Topological Degree Theory and Applications forms an outstanding text for self-study or special topics courses and a valuable reference for anyone working in differential equations, analysis, or topology. Accepted Papers ICML New York City We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First we prove that the popular model of Dawid ... Journal of Fixed Point Theory and Applications - Springer The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of ... Topological Sorting - GeeksforGeeks Algorithm to find Topological Sorting: We recommend to first see implementation of DFS here. We can modify DFS to find Topological Sorting of a graph. Graph theory - Wikipedia In mathematics graph theory is the study of graphs which are mathematical structures used to model pairwise relations between objects. A graph in this context is ... Journal of Fixed Point Theory and its Applications incl ... The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of ... Mathematical and Computational Applications An Open ... Mathematical and Computational Applications (ISSN 2297-8747; ISSN 1300-686X for printed edition) is an international open access journal on the applications ... IAMP International Association of Mathematical Physics Positions in Mathematical Physics The IAMP announces available and wanted positions in Mathematical Physics. If you want to announce an available position on this ... Computers & Mathematics with Applications - ScienceDirect Computers & Mathematics with Applications Volume 73 Issue 5 Pages 727-872 (1 March 2017) ICONIP2016 Kyoto Japan As data generated from sciences business governments etc. are reaching petabyte or even exabyte at an alarming rate theories models and applications in online ... Group theory - Wikipedia During the twentieth century mathematicians investigated some aspects of the theory of finite groups in great depth especially the local theory of finite groups and ...
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