On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces

10.1007/s11117-019-00648-6 ◽

2019 ◽

Vol 23 (4) ◽

pp. 1009-1020

Author(s):

S. R. Pattanaik ◽

D. K. Pradhan

Keyword(s):

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

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On the generalized parallel sum of two maximal monotone operators of Gossez type (D)

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.02.030 ◽

2012 ◽

Vol 391 (1) ◽

pp. 82-98 ◽

Author(s):

Radu Ioan Boţ ◽

Szilárd László

Keyword(s):

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Parallel Sum ◽

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Strong convergence theorems for maximal monotone operators in Banach spaces

Optimization ◽

10.1080/02331930902839426 ◽

2009 ◽

Vol 59 (6) ◽

pp. 807-819 ◽

Author(s):

L.C. Ceng ◽

S. Schaible ◽

J.C. Yao

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Convergence Theorems

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Hybrid algorithm for maximal monotone operators, quasi-ϕ-nonexpansive mappings and equilibrium problems in banach spaces

2011 International Conference on Machine Learning and Cybernetics ◽

10.1109/icmlc.2011.6016826 ◽

2011 ◽

Author(s):

Shu-Xin Fan ◽

Li-Ling Duan ◽

Wei Li

Keyword(s):

Banach Spaces ◽

Hybrid Algorithm ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators

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Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces

Tohoku Mathematical Journal ◽

10.2748/tmj/1404911860 ◽

2014 ◽

Vol 66 (2) ◽

pp. 171-203 ◽

Author(s):

Teffera M. Asfaw ◽

Athanassios G. Kartsatos

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Reflexive Banach Spaces

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Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2014-237 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Huan-chun Wu ◽

Cao-zong Cheng

Keyword(s):

Banach Spaces ◽

Iterative Methods ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Some properties of maximal monotone operators on nonreflexive Banach spaces

Set-Valued Analysis ◽

10.1007/bf01033641 ◽

1995 ◽

Vol 3 (1) ◽

pp. 51-69 ◽

Author(s):

S. P. Fitzpatrick ◽

R. R. Phelps

Keyword(s):

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators

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The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces

Optimization ◽

10.1080/02331934.2012.724686 ◽

2012 ◽

Vol 63 (9) ◽

pp. 1319-1338 ◽

Author(s):

Siwaporn Saewan ◽

Poom Kumam ◽

Preedaporn Kanjanasamranwong

Keyword(s):

Fixed Points ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Common Fixed Points ◽

Projection Algorithm ◽

Hybrid Projection Algorithm

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Moreau–Yosida Regularization of Maximal Monotone Operators of Type (D)

Set-Valued and Variational Analysis ◽

10.1007/s11228-010-0137-9 ◽

2010 ◽

Vol 19 (1) ◽

pp. 97-106

Author(s):

Maicon Marques Alves ◽

Benar Fux Svaiter

Keyword(s):

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Type D ◽

Yosida Regularization

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On the eigenvalue problem for perturbed nonlinear maximal monotone operators in reflexive Banach spaces

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-05-03761-x ◽

2005 ◽

Vol 358 (9) ◽

pp. 3851-3881 ◽

Author(s):

Athanassios G. Kartsatos ◽

Igor V. Skrypnik

Keyword(s):

Eigenvalue Problem ◽

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Reflexive Banach Spaces ◽

Nonlinear Maximal Monotone

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Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces

Archiv der Mathematik ◽

10.1007/s00013-008-2545-8 ◽

2008 ◽

Vol 91 (2) ◽

pp. 166-177 ◽

Author(s):

Fumiaki Kohsaka ◽

Wataru Takahashi

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Fixed Point Theorems ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Nonlinear Mappings

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