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Maximal monotone operators with non-maximal graphical limit
Examples and Counterexamples, 2022 We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
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Nonlinear Maximal Monotone Extensions of Symmetric Operators [PDF]
Journal of Evolution Equations, 2015 Given a linear semi-bounded symmetric operator $S\ge -\omega$, we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators $A_\Theta$ of type $\lambda>\omega$ (i.e.
Posilicano, Andrea
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Optimal Control of Plasticity with Inertia [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 The paper is concerned with an optimal control problem governed by the equations of elasto plasticity with linear kinematic hardening and the inertia term at small strain.
Stephan Walther
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Fixed Point Theory and Applications, 2009 We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly ...
Somyot Plubtieng, Wanna Sriprad
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Fixed Point Theory and Applications, 2009 We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
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Fixed Points for Discontinuous Monotone Operators
Fixed Point Theory and Applications, 2010 We obtain some new existence theorems of the maximal and minimal fixed points for discontinuous monotone operator on an order interval in an ordered normed space. Moreover, the maximal and minimal fixed points can be achieved by monotone iterative method
Yujun Cui, Xingqiu Zhang
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Bipotentials for non monotone multivalued operators: fundamental results and applications [PDF]
, 2008 This is a survey of recent results about bipotentials representing multivalued operators. The notion of bipotential is based on an extension of Fenchel's inequality, with several interesting applications related to non associated constitutive laws in non
Buliga, Marius +2 more
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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Journal of Mathematics, 2019 In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi +2 more
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Quantitative and stability study of the evolution of a viscoelastic body [PDF]
Journal of Mahani Mathematical Research, 2023 This paper deals with a generalization of the model describing the evolution of a linear viscoelastic body studied by Kirane M. and B.S. Houari in 2011.
Zinsou Pascal, Guy Degla
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