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An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces

open access: yesFixed 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
doaj   +4 more sources

Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings [PDF]

open access: yesFixed 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
doaj   +3 more sources

Fractional Order of Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator

open access: yesMathematics, 2020
This paper is devoted to the study of evolution problems involving fractional flow and time and state dependent maximal monotone operator which is absolutely continuous in variation with respect to the Vladimirov’s pseudo distance.
Charles Castaing   +2 more
doaj   +2 more sources

Optimal Control of Plasticity with Inertia [PDF]

open access: yesJournal 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
doaj   +1 more source

Maximal monotone operators with non-maximal graphical limit

open access: yesExamples 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
doaj   +1 more source

Fixed Points for Discontinuous Monotone Operators

open access: yesFixed 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
doaj   +2 more sources

Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks

open access: yesAbstract 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
doaj   +1 more source

Quantitative and stability study of the evolution of a viscoelastic body [PDF]

open access: yesJournal 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
doaj   +1 more source

A Halpern-Type Iteration Method for Bregman Nonspreading Mapping and Monotone Operators in Reflexive Banach Spaces

open access: yesJournal 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
doaj   +1 more source

Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

open access: yesAbstract and Applied Analysis, 2009
We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam   +2 more
doaj   +1 more source

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