A PROXIMAL POINT ALGORITHM FOR SOLVING THE GENERAL VARIATIONAL INCLUSIONS WITH M(·, ·)-MONOTONE OPERATORS IN BANACH SPACES

East Asian Mathematical Journal ◽

10.7858/eamj.2013.022 ◽

2013 ◽

Vol 29 (3) ◽

pp. 315-326

Author(s):

Junmin Chen ◽

Xian Wang ◽

Zhen He

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Monotone Operators ◽

Variational Inclusions ◽

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A MODIFIED PROXIMAL POINT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INCLUSIONS IN BANACH SPACES

Journal of applied mathematics & informatics ◽

10.14317/jami.2015.401 ◽

2015 ◽

Vol 33 (3_4) ◽

pp. 401-415

Author(s):

YING LIU

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Variational Inclusions ◽

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A hybrid of the extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2006.08.003 ◽

2007 ◽

Vol 1 (3) ◽

pp. 398-413 ◽

Author(s):

Liwei Li ◽

W. Song

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Extragradient Method ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Proximal Point ◽

Strongly Monotone ◽

Inverse Strongly Monotone ◽

Strongly Monotone Operators

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Modified Proximal-Point Algorithm for Maximal Monotone Operators in Banach Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-008-9370-x ◽

2008 ◽

Vol 138 (1) ◽

pp. 45-64 ◽

Author(s):

L. Li ◽

W. Song

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

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

Fixed Point Theory and Applications ◽

10.1155/2009/591874 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 591874 ◽

Author(s):

Somyot Plubtieng ◽

Wanna Sriprad

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Extragradient Method ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Proximal Point ◽

Strongly Monotone ◽

Inverse Strongly Monotone ◽

Strongly Monotone Operators

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A Hybrid Proximal Point Algorithm for Solving the General Variational Inclusions with (A,?)-Maximal Monotone Operators

2009 International Joint Conference on Computational Sciences and Optimization ◽

10.1109/cso.2009.425 ◽

2009 ◽

Author(s):

Jun-Min Chen ◽

Tie-Gang Fan ◽

Xue-Fei Li

Keyword(s):

Proximal Point Algorithm ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Variational Inclusions ◽

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Monotone Operators and the Proximal Point Algorithm

SIAM Journal on Control and Optimization ◽

10.1137/0314056 ◽

1976 ◽

Vol 14 (5) ◽

pp. 877-898 ◽

Cited By ~ 1804

Author(s):

R. Tyrrell Rockafellar

Keyword(s):

Proximal Point Algorithm ◽

Monotone Operators ◽

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A Variable Metric Proximal Point Algorithm for Monotone Operators

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992235547 ◽

1999 ◽

Vol 37 (2) ◽

pp. 353-375 ◽

Author(s):

J. V. Burke ◽

Maijian Qian

Keyword(s):

Proximal Point Algorithm ◽

Monotone Operators ◽

Proximal Point ◽

Variable Metric

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Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2011-52 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Jong Kyu Kim ◽

Truong Minh Tuyen

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Banach Spaces ◽

Proximal Point Algorithm ◽

Nonexpansive Mappings ◽

Finite Family ◽

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Proximal point algorithm for generalized multivalued nonlinear quasi-variational-like inclusions in Banach spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.02.021 ◽

2005 ◽

Vol 163 (1) ◽

pp. 295-308 ◽

Author(s):

Rais Ahmad ◽

A.H. Siddiqi ◽

Zubair Khan

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

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Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space

SIAM Journal on Optimization ◽

10.1137/s1052623403427859 ◽

2004 ◽

Vol 14 (3) ◽

pp. 773-782 ◽

Author(s):

Felipe Alvarez

Keyword(s):

Hilbert Space ◽

Weak Convergence ◽

Proximal Point Algorithm ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

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