A common fixed point theorem with applications

DOI10.1007/s10957-013-0490-6zbMath1308.47061OpenAlexW2087038489MaRDI QIDQ481770

Ravi P. Agarwal, Donal O'Regan, Mircea Balaj

Publication date: 15 December 2014

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

Full work available at URL: https://doi.org/10.1007/s10957-013-0490-6

zbMATH Keywords

common fixed pointminimax inequalityStampacchia variational inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (7)

Common fixed point theorems in topological vector spaces via intersection theorems ⋮ A note on the paper ``A common fixed point theorem with applications ⋮ Some generalizations of common fixed point problems with applications ⋮ A fixed point result and the stability problem in Lie superalgebras ⋮ Common fixed points of set-valued mappings in hyperconvex metric spaces ⋮ Elementary convex techniques for equilibrium, minimax and variational problems ⋮ Common fixed point theorems for set-valued mappings in normed spaces

Cites Work

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• Semicontinuity of the solution map of quasivariational inequalities
• Generalized KKM theorems and common fixed point theorems
• Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions
• Generalized variational relation problems with applications
• Some existence results of solutions for general variational inequalities
• On quasimonotone variational inequalities.
• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• A common fixed point theorem with applications to vector equilibrium problems
• On quasimonotone variational inequalities
• Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
• Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping
• On some non-linear elliptic differential functional equations
• The fixed point theory of multi-valued mappings in topological vector spaces
• A generalization of Brouwer's fixed point theorem
• Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces
• Convex Analysis
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points

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