Equivalence of generalized mixed complementarity and generalized mixed least element problems in ordered spaces

DOI10.1080/02331930701761474zbMath1158.90408OpenAlexW1966729493MaRDI QIDQ3622008

Lu-Chuan Zeng, Jen-Chih Yao, Qamrul Hasan Ansari

Publication date: 23 April 2009

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930701761474

zbMATH Keywords

generalized mixed complementarity problemsgeneralized mixed least-element problemsgeneralized mixed non-linear programsgeneralized mixed variational inequality problemsstrictly pseudomonotone-type mapsZ-type maps

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (4)

Existence of solutions for extended generalized complementarity problems ⋮ Mixed equilibrium problems with \(Z^*\)-bifunctions and least element problems in Banach lattices ⋮ Some Equivalences Among Nonlinear Complementarity Problems, Least-Element Problems, and Variational Inequality Problems in Ordered Spaces ⋮ Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller-Rubinow model

Cites Work

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• Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces
• Equivalence of Nonlinear Complementarity Problems and Least Element Problems in Banach Lattices
• Extension of the Generalized Complementarity Problem
• A Least-Element Theory of Solving Linear Complementarity Problems as Linear Programs
• Iterative schemes for solving mixed variational-like inequalities

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