Duality in Multivalued Complementarity Theory by Using Inversions and Scalar Derivatives

Authors:
G. Isac;S. Z. Németh
Affiliations:
Department of Mathematics and Computer Science, Royal Military College of Canada, STN Forces Kingston, Canada K7K 7B;School of Mathematics, Laboratory of Operations Research and Decision Systems, Computer and Automation Institute, Hungarian Academy of Sciences, The University of Birmingham, Brimingham, United Ki ...
Venue:
Journal of Global Optimization
Year:
2005

Citing 10
Cited 1

A class of nonlinear complementarity problems for multifunctions

Journal of Optimization Theory and Applications
Some existence results for multivalued complementarity problems

Mathematics of Operations Research
Generalized complementarity problems for fuzzy mappings

Fuzzy Sets and Systems
Functions without exceptional family of elements and complementarity problems

Journal of Optimization Theory and Applications
Quasi-P *-maps, P(&tgr;, &agr; &bgr;)-maps exceptional family of elements, and complementarity problems

Journal of Optimization Theory and Applications
Exceptional family of elements, Leray—Schauder alternative, Pseudomonotone operators and complementarity

Journal of Optimization Theory and Applications
Exceptional Families, Topological Degree and Complementarity Problems

Journal of Global Optimization
Exceptional Family of Elements for a Variational Inequality Problem and its Applications

Journal of Global Optimization
Exceptional Families of Elements for Continuous Functions: Some Applications to Complementarity Theory

Journal of Global Optimization
Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)

Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)

Variational inequalities on weakly compact sets

Journal of Global Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present in this paper several results related to the study of multivalued complementarity problems. Our results are based on the notions of exceptional family of elements and infinitesimal exceptional family of elements. A duality between these notions and the scalar derivatives are also used. The duality is achieved by using inversions.