Định lý hội tụ yếu và mạnh cho các ánh xạ đa trị tương đối không mở rộng trong không gian Banach

Xu HK: Inequalities in Banach spaces with applications. Nonlinear Anal 1991, 16: 1127–1138. 10.1016/0362-546X(91)90200-K

Takahashi W: Nonlinear Functional Analysis. Fixed Point Theory and Its Applications. Yokohama Publishers, Yokohama 2000.

Matsushita S, Takahashi W: A strong convergence theorem for relatively nonexpansive mappings in a Banach space. J Approx Theory 2005, 134: 257–266. 10.1016/j.jat.2005.02.007

Kamimura S, Takahashi W: Strong convergence of a proximal-type algorithm in a Banach space. SIAM J Optim 2002, 13: 938–945. 10.1137/S105262340139611X

Reich S: A weak convergence theorem for the alternating method with Bregman distances. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type. In Lecture Notes in Pure and Appl Math. Volume 178. Dekker, New York; 1996:313–318.

Butnariu D, Reich S, Zaslavski AJ: Asymptotic behavior of relatively nonexpansive operators in Banach spaces. J Appl Anal 2001,7(2):151–174. 10.1515/JAA.2001.151

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Alber YI: Metric and generalized projection operators in Banach spaces: properties and applications. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type. In Lecture Notes in Pure and Appl Math. Volume 178. Dekker, New York; 1996:15–50.

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Jung JS: Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces. Nonlinear Anal 2007, 66: 2345–2354. 10.1016/j.na.2006.03.023

Shahzad N, Zegeye H: Strong convergence results for nonself multimaps in Banach spaces. Proc Am Math Soc 2008, 136: 539–548.

Shahzad N, Zegeye H: On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces. Nonlinear Anal 2009, 71: 838–844. 10.1016/j.na.2008.10.112

Song Y, Wang H: Convergence of iterative algorithms for multivalued mappings in Banach spaces. Nonlinear Anal 2009, 70: 1547–1556. 10.1016/j.na.2008.02.034