On the solution existence of variational-like inequalities problems for weakly relaxed \(\eta-\alpha\) monotone mapping

DOI10.1155/2013/207845zbMath1291.49007OpenAlexW1964548991WikidataQ58915554 ScholiaQ58915554MaRDI QIDQ2015222

Wutiphol Sintunavarat, Mirwan Amin Kutbi

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/207845

zbMATH Keywords

KKM techniqueKakutani-Fan-Glicksberg fixed-point theoremvariational-like inequality problemsweakly relaxed \(\eta-\alpha\) monotone mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05)

Related Items (4)

Generalized mixed equilibrium problems with generalized \(\alpha\)-\(\eta\)-monotone bifunction in topological vector spaces ⋮ Solution of a class of equilibrium problems and variational inequalities in FC spaces ⋮ Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space ⋮ Nonlinear Mixed Variational-Like Inequality with Respect to Weakly Relaxed $$\eta -\alpha $$ Monotone Mapping in Banach Spaces

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Generalized quasi-variational-like hemivariational inequalities
• On generalized variational-like inequalities with generalized monotone multivalued mappings
• A class of nonconvex functions and pre-variational inequalities
• On the semi-monotone operator theory and applications
• Pseudo-monotone complementarity problems in Hilbert space
• Existence of generalized variational inequalities
• Nonlinear variational inequalities on convex subsets of Banach spaces
• On generalized variational inequalities involving relaxed Lipschitz and relaxed monotone operators
• Variational-like inequalities with generalized monotone mappings in Banach spaces
• Variational inequalities for monotone operators in nonreflexive Banach spaces
• Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
• Mixed equilibrium problems with weakly relaxed \(\alpha \)-monotone bifunction in Banach spaces
• On the generalized monotonicity of variational inequalities
• Existence results for systems of vector variational-like inequalities
• On the existence of solutions to generalized vector variational-like inequalities
• On some non-linear elliptic differential functional equations
• On nonlinear variational inequalities
• Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities

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