Bounds for a solution set of linear complementarity problems over Hilbert spaces
Projesh Nath Choudhury, M. Rajesh Kannan, K.C. Sivakumar
TL;DR
This paper establishes bounds for a specific convex subset of solutions to infinite linear complementarity problems in real Hilbert spaces, utilizing properties of bounded linear operators with closed range.
Contribution
It introduces new bounds for solution sets of infinite linear complementarity problems in Hilbert spaces based on operator properties.
Findings
Derived bounds for solution sets using operator properties
Applicable to infinite-dimensional Hilbert spaces
Enhances understanding of solution structure in complementarity problems
Abstract
Let be a real Hilbert space. In this short note, using some of the properties of bounded linear operators with closed range defined on , certain bounds for a specific convex subset of the solution set of infinite linear complementarity problems, are established.
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Taxonomy
TopicsOptimization and Variational Analysis · Matrix Theory and Algorithms · Mathematical Inequalities and Applications