Existence of solutions for generalized equilibrium problem in \(G\)-convex space

DOI10.1016/j.camwa.2011.08.055zbMath1236.49017OpenAlexW2058800236MaRDI QIDQ2428977

Bo Cheng, San-Yang Liu

Publication date: 22 April 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.055

zbMATH Keywords

\(G\)-convex spacefixed-point theoremgeneralized equilibrium problem\(G\)-diagonally quasiconvexity

Mathematics Subject Classification ID

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

Cites Work

• Vector equilibrium problems. Existence theorems and convexity of solution set
• Generalized vector equilibrium problems in generalized convex spaces
• On vector quasi-equilibrium problems with set-valued maps
• Characterizations of solutions for vector equilibrium problems
• Generalized vector equilibrium problems for pseudomonotone multivalued bifunctions
• A method of duality for a mixed vector equilibrium problem
• On scalar equilibrium problem in generalized convex spaces
• On the generalized vector equilibrium problems
• Existence of solutions to general quasiequilibrium problems and applications
• Existence of solutions for generalized vector quasi-variational-like inequalities without monotonicity
• Vector equilibrium problems with generalized monotone bifunctions
• Generalized vector equilibrium problems with set-valued mappings
• An existence result for the generalized vector equilibrium problem
• Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces
• Some existence results for solutions of generalized vector quasi-equilibrium problems
• Comments on collectively fixed points in generalized convex spaces
• ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS
• Generalized vector quasi-equilibrium problems with set-valued mappings
• On generalized vector equilibrium problems
• On generalized vector equilibrium problems
• Fixed point theorems in locally \(G\)-convex spaces

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