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Numerical Functional Analysis and Optimization Volume 31, 2010 - Issue 7
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Original Articles

Hybrid Proximal-Type and Hybrid Shrinking Projection Algorithms for Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings

L.-C. Ceng Department of Mathematics, Shanghai Normal University and Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, China
,
Q. H. Ansari Department of Mathematics, Aligarh Muslim University, Aligarh, IndiaCorrespondence[email protected]
&
J.-C. Yao Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan
Pages 763-797 | Received 16 Aug 2009, Accepted 17 May 2010, Published online: 02 Aug 2010

Citations (14)

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L.C. Ceng, A. Latif & A.E. Al-Mazrooei. (2016) Hybrid viscosity methods for equilibrium problems, variational inequalities, and fixed point problems. Applicable Analysis 95:5, pages 1088-1117.
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Articles from other publishers (13)

Ying Liu. (2015) Weak convergence of a hybrid type method with errors for a maximal monotone mapping in Banach spaces. Journal of Inequalities and Applications 2015:1.
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Chin-Tzong Pang, Eskandar Naraghirad & Ching-Feng Wen. (2015) A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces. Journal of Inequalities and Applications 2015:1.
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Qiao-Li Dong & Yan-Yan Lu. (2015) A new hybrid algorithm for a nonexpansive mapping. Fixed Point Theory and Applications 2015:1.
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Huan-chun Wu & Cao-zong Cheng. (2014) Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces. Fixed Point Theory and Applications 2014:1.
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Do D Thanh. (2014) Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings. Fixed Point Theory and Applications 2014:1.
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Mohammad Eslamian. (2013) Halpern-Type Iterative Algorithm for an Infinite Family of Relatively Quasi-Nonexpansive Multivalued Mappings and Equilibrium Problem in Banach Spaces. Mediterranean Journal of Mathematics 11:2, pages 713-727.
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Q. H. Ansari & D. R. Sahu. 2014. Topics in Fixed Point Theory. Topics in Fixed Point Theory 273 300 .
Siwaporn Saewan. (2013) Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space. Fixed Point Theory and Applications 2013:1.
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Aunyarat Bunyawat & Suthep Suantai. (2013) Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings. Fixed Point Theory and Applications 2013:1.
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Abdul Latif & Mohammad Eslamian. (2013) A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis 2013, pages 1-9.
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Narin Petrot & Javad Balooee. (2012) A new class of general nonlinear random set-valued variational inclusion problems involving A-maximal m-relaxed η-accretive mappings and random fuzzy mappings in Banach spaces. Journal of Inequalities and Applications 2012:1.
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Ali Abkar & Mohammad Eslamian. (2012) Strong convergence theorems for equilibrium problems and fixed point problem of multivalued nonexpansive mappings via hybrid projection method. Journal of Inequalities and Applications 2012:1.
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Phan Tu Vuong, Jean Jacques Strodiot & Van Hien Nguyen. (2012) Extragradient Methods and Linesearch Algorithms for Solving Ky Fan Inequalities and Fixed Point Problems. Journal of Optimization Theory and Applications 155:2, pages 605-627.
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