An order theoretic fixed point theorem with application to multivalued variational inequalities with nonsmooth bifunctions

DOI10.1007/s11784-018-0639-xzbMath1504.47085OpenAlexW2901155297WikidataQ128888705 ScholiaQ128888705MaRDI QIDQ1716164

Christoph Tietz

Publication date: 29 January 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0639-x

zbMATH Keywords

fixed pointvariational inequalityextremal solutionsub-supersolutionordered spacediscontinuous multifunction

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) PDEs with multivalued right-hand sides (35R70) Fixed-point theorems (47H10) Set-valued operators (47H04) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Existence results of partial differential mixed variational inequalities without Lipschitz continuity

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