Zero-Epi Mappings and Copmlementarity
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 41)
The concept of zero-epi mapping is similar to the concept of topological degree but more refined and simpler.
KeywordsComplementarity Problem Topological Method Topological Degree Arbitrary Banach Space Existence Property
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- BANAS, J. and GOEBEL, K. 1. Measure ofNoncompactness in Banach Spaces. Lecture Notes in Pure and Applied Mathematics, Nr. 60, Marcel Dekker Inc., New York, Basel, (1980).Google Scholar
- BOURBAKI, N. 1. Topologi Générale. Chap. 9, Hermann, Paris, France (1971).Google Scholar
- FURI, M. and PERA, M. P. 3. On unbounded branches of solutions for nonlinear operator equations in the nonbijurcation case. Boll. Un. Mat. Ital . 1-B (1982), 919–930.Google Scholar
- GRANAS, A. 1. The theory of compact vectorfields and some applications to the theory offunctional spaces. Rozprawy Matematyczne, Warszawa, 30 (1962).Google Scholar
- ISAC, G. 1. (0, k)-Epi mappings. Applications to complementarity theory. In: Topics in Nonlinear Operator Theory (Eds. R. P. Agarwal and D. O’Regan (In printing)Google Scholar
- KRASNOSELSKII, M. A. 1. Positive solutions of Uperator Equations. P. Noordhoff, Groningen, The Netherlands, (1964).Google Scholar
- PRÜFER, M. and SIEGBERG, H. W. 1. On computation aspects of degree in Rn. In: Functional Differential Equations and Approximation of Fixed Points (Eds. H. O. Peitgen and H. O Walter), Springer-Verlag, (1979).Google Scholar
- STYNES, M. J. 1. An Algorithm for the Numerical Calculation of the Degree of a Mapping. Oregon State University, Ph. D. Thesis (1977).Google Scholar
© Springer Science+Business Media Dordrecht 2000