Some conditions for maximal monotonicity of bifunctions
| Autor: | Nicolas Hadjisavvas, Flávia M. O. Jacinto, Juan Enrique Martínez-Legaz |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
TheoryofComputation_MISCELLANEOUS Numerical Analysis Pure mathematics 021103 operations research Applied Mathematics Quantitative Biology::Molecular Networks 0211 other engineering and technologies TheoryofComputation_GENERAL Monotonic function 010103 numerical & computational mathematics 02 engineering and technology State (functional analysis) Characterization (mathematics) Monotone bifunctions Strongly monotone Maximal monotone operators 01 natural sciences Combinatorics Monotone polygon Equilibrium problems Geometry and Topology 0101 mathematics Analysis Mathematics |
| Zdroj: | Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona |
| Popis: | Altres ajuts. The first author was supported by the startup research grant no. SR141001 of the King Fahd University of Petroleum and Minerals. This work was developed during the postdoctoral stay of the second author at the Department of Economics and Economic History of the Universitat Autònoma de Barcelona. She gratefully acknowledges the financial support received from Science without Borders Program of CNPq-Brazil under grant 246699/2012-4 and the warm hospitality of the third author as well as of the members from the host institution. The third author was supported by the MICINN of Spain, Grant MTM2011-29064-C03-01, and under Australian Research Council's Discovery Projects funding scheme (project number DP140103213). We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitable way. |
| Databáze: | OpenAIRE |
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