Existence and equivalence with an optimization problem for some difference inclusions

DOI10.1016/j.na.2004.03.018zbMath1056.39001OpenAlexW1967267389MaRDI QIDQ1882469

Narcisia C. Apreutesei

Publication date: 1 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.018

zbMATH Keywords

resolventHilbert spacemaximal monotone operatorstrongly monotone operatorYosida approximationsubdifferential mappingdifference inclusion problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Discrete version of topics in analysis (39A12) Optimality conditions for problems in abstract spaces (49K27) General theory of difference equations (39A05)

Related Items (8)

Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous difference equations of monotone type ⋮ Continuous dependence on data for a second-order nonhomogeneous difference inclusion ⋮ On Nonhomogeneous Second Order Difference Inclusions of Accretive Type in Banach Spaces ⋮ New results on the asymptotic behavior of solutions to a class of second order nonhomogeneous difference equations ⋮ Existence and approximation of zeroes of monotone operators by solutions to nonhomogeneous difference inclusions ⋮ A note on the asymptotic behavior of solutions to a second order difference equation ⋮ Continuous dependence on data for bilocal difference equations ⋮ A Trotter-Kato type result for a second order difference inclusion in a Hilbert space

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