Existence theorems for relaxed \(\eta\)-\(\alpha\) pseudomonotone and strictly \(\eta\)-quasimonotone generalized variational-like inequalities

DOI10.1186/1029-242X-2014-442zbMath1346.47027WikidataQ59320042 ScholiaQ59320042MaRDI QIDQ261724

Ching-Feng Wen, Somyot Plubtieng, Areerat Arunchai

Publication date: 24 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized variational-like inequalityKKM techniquerelaxed \(\eta\)-\(\alpha\) pseudomonotone operatorsolution existencestrictly \(\eta\)-quasimonotone operatorvariational-like inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05)

Related Items (2)

Mixed invex equilibrium problems with generalized relaxed monotone and relaxed invariant pseudomonotone mappings ⋮ Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities

Cites Work

• On quasimonotone variational inequalities.
• Existence results for systems of strong implicit vector variational inequalities
• Continuous selections. I
• Minimal coercivity conditions and exceptional families of elements in quasimonotone variational inequalities
• On the solution existence of pseudomonotone variational inequalities
• Complementarity problems over cones with monotone and pseudomonotone maps
• Pseudo-monotone complementarity problems in Hilbert space
• Variational inequalities with nonmonotone operators
• Pseudomonotone variational inequality problems: Existence of solutions
• On generalized variational inequalities involving relaxed Lipschitz and relaxed monotone operators
• Variational inequalities for monotone operators in nonreflexive Banach spaces
• Coercivity conditions and variational inequalities
• Variational-like inequalities with relaxed \(\eta -\alpha\) pseudomonotone mappings in Banach spaces
• On some non-linear elliptic differential functional equations
• GENERALIZED VARIATIONAL-LIKE INEQUALITIES WITH COMPOSITELY MONOTONE MULTIFUNCTIONS
• Variational Inequalities with Generalized Monotone Operators
• Vector variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
• Pseudomonotone Complementarity Problems and Variational Inequalities
• Generalized Monotone Equilibrium Problems and Variational Inequalities
• On nonlinear variational inequalities
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