Existence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces

DOI10.1186/1029-242X-2012-9zbMath1486.47112OpenAlexW2118585284WikidataQ59271672 ScholiaQ59271672MaRDI QIDQ366167

Poom Kumam, Nawitcha Onjai-uea

Publication date: 12 September 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-9

zbMATH Keywords

Banach spacesfixed point problemgeneralized \(f\)-projectionmixed variational inequality problemrelaxed cocoercive mappings

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04)

Related Items (3)

Lacunary statistically slowly oscillating continuity in abstract spaces ⋮ Existence and algorithm for solving the system of mixed variational inequalities in Banach spaces ⋮ Existence results for trifunction equilibrium problems and fixed point problems

Cites Work

• General convergence analysis for two-step projection methods and applications to variational problems
• A resolvent operator technique for approximate solving of generalized system mixed variational inequality and fixed point problems
• Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• New approximation schemes for general variational inequalities
• The generalized projection operator on reflexive Banach spaces and its applications
• New extragradient-type methods for general variational inequalities.
• Some developments in general variational inequalities
• Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
• Inequalities in Banach spaces with applications
• The generalised f-projection operator with an application

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