A comparative study of Ky Fan hemicontinuity and Brezis pseudomonotonicity of mappings and existence results

DOI10.1007/S10957-014-0618-3zbMath1320.47050OpenAlexW2167686698MaRDI QIDQ2346909

Mitra Salehi Paydar, Ildar Sadeqi

Publication date: 5 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10957-014-0618-3

zbMATH Keywords

variational inequalityBrezis pseudomonotonicityKy Fan hemicontinuity

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (2)

Brezis pseudomonotonicity is strictly weaker than Ky-Fan hemicontinuity ⋮ Fan-hemicontinuity for the gradient of the norm in Hilbert space

Cites Work

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• Some properties of convex sets related to fixed point theorems
• Monotone (nonlinear) operators in Hilbert space
• Complementarity problems over cones with monotone and pseudomonotone maps
• Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
• From scalar to vector equilibrium problems in the quasimonotone case
• Notions of relative interior in Banach spaces
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
• Applications of a theorem concerning sets with convex sections
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
• Generalized Monotone Equilibrium Problems and Variational Inequalities
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES

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