Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities

DOI10.1080/00036810902942218zbMath1184.49022OpenAlexW2181763530WikidataQ58275991 ScholiaQ58275991MaRDI QIDQ5190139

Nicuşor Costea, Vicenţiu D. Rădulescu

Publication date: 12 March 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810902942218

zbMATH Keywords

set-valued mappingshemivariational inequalityfixed point theoremClarke's generalized gradientstably pseudomonotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Fréchet and Gateaux differentiability in optimization (49J50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

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Cites Work

• Stable pseudomonotone variational inequality in reflexive Banach spaces
• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Existence theorems of Hartman-Stampacchia type for hemivariational inequalities and applications
• A relationship between pseudomonotone and monotone mappings.
• On some non-linear elliptic differential functional equations
• Strict feasibility of generalized complementarity problems
• Existence Results For Inequality Problems
• Variational inequalities