The topological degree in ordered Banach spaces |
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| Authors: | Adrian Duma Ileana Duma |
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| Affiliation: | (1) Department of Mathematics, University of Craiova, A.I.Cuza Street, 13 Craiova, 200585 Dolj, Romania;(2) Department of Financial Management and Accounting, Spiru Haret University, Brazda lui Novac Street, 4 Craiova, 200690 Dolj, Romania |
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| Abstract: | This paper is devoted to the applications of classical topological degrees to nonlinear problems involving various classes of operators acting between ordered Banach spaces. In this framework, the Leray-Schauder, Browder-Petryshyn, and Amann-Weiss degree theories are considered, and several existence results are obtained. The non-Archimedean case is also discussed. |
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| Keywords: | degree theory ordered Banach spaces A-proper mappings fixed-point theorems |
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