Asymptotics of a General Second-Order Difference Equation and Approximation of Zeroes of Monotone Operators

DOI10.1080/01630563.2016.1200613zbMath1372.39012OpenAlexW2469508966MaRDI QIDQ2829607

Hadi Khatibzadeh, Behzad Djafari Rouhani

Publication date: 8 November 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1200613

zbMATH Keywords

strong convergenceweak convergenceasymptotic behaviorHilbert spacemaximal monotone operatordifference equationsecond-order difference equationdifference inclusionnonlinear second-order evolution equation

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued operators (47H04) Discrete version of topics in analysis (39A12) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Nonlinear evolution equations (47J35) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (4)

Continuous dependence on data for a second-order nonhomogeneous difference inclusion ⋮ Existence and Asymptotic Behavior of Second-Order Difference Equation with Tikhonov Regularization ⋮ On Nonhomogeneous Second Order Difference Inclusions of Accretive Type in Banach Spaces ⋮ Existence and approximation of zeroes of monotone operators by solutions to nonhomogeneous difference inclusions

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