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2014 | OriginalPaper | Chapter

Isotone Projection Cones and Nonlinear Complementarity Problems

Authors : M. Abbas, S. Z. Németh

Published in: Nonlinear Analysis

Publisher: Springer India

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Abstract

A brief introduction of complementarity problems is given. We discuss the notion of *-isotone projection cones and analyze how large is the class of these cones. We show that each generating *-isotone projection cone is superdual. We prove that a simplicial cone in \(R^{m}\) is *-isotone projection cone if and only if it is coisotone (i.e., it is the dual of an isotone projection cone. We consider the solvability of complementarity problems defined by *-isotone projection cones. The problem of finding nonzero solution of these problems is also presented.

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previous chapter Split Feasibility and Fixed Point Problems
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Metadata
Title
Isotone Projection Cones and Nonlinear Complementarity Problems
Authors
M. Abbas
S. Z. Németh
Copyright Year
2014
Publisher
Springer India
Book
Nonlinear Analysis

Print ISBN: 978-81-322-1882-1

Electronic ISBN: 978-81-322-1883-8

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-81-322-1883-8_10

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