Các định lý hội tụ mạnh cho một lớp các vấn đề khả thi phân tách và vấn đề điểm cố định trong không gian Hilbert

citation_journal_title=Numer. Algorithms; citation_title=A multiprojection algorithm using Bregman projections in product space; citation_author=Y. Censor, T. Elfving; citation_volume=8; citation_publication_date=1994; citation_pages=221-239; citation_doi=10.1007/BF02142692; citation_id=CR1 citation_journal_title=Inverse Probl.; citation_title=Iterative oblique projection onto convex sets and the split feasibility problem; citation_author=C. Byrne; citation_volume=18; citation_publication_date=2002; citation_pages=441-453; citation_doi=10.1088/0266-5611/18/2/310; citation_id=CR2 citation_journal_title=Phys. Med. Biol.; citation_title=A unified approach for inversion problems in intensity-modulated radiation therapy; citation_author=Y. Censor, T. Bortfeld, B. Martin, A. Trofimov; citation_volume=51; citation_publication_date=2006; citation_pages=2353-2365; citation_doi=10.1088/0031-9155/51/10/001; citation_id=CR3 citation_journal_title=Rev. Fr. Inform. Rech. Opér.; citation_title=Régularisation dinéquations variationnelles par approximations successives; citation_author=B. Martinet; citation_volume=3; citation_publication_date=1970; citation_pages=154-158; citation_id=CR4 citation_journal_title=Houst. J. Math.; citation_title=Nonexpansive projections and resolvents of accretive operators in Banach spaces; citation_author=R.E. Bruck, S. Reich; citation_volume=3; citation_publication_date=1977; citation_pages=459-470; citation_id=CR5 citation_journal_title=Math. Program.; citation_title=On the Douglas–Rachford splitting method and the proximal point algorithm for maximal monotone operators; citation_author=J. Eckstein, D.P. Bertsckas; citation_volume=55; citation_publication_date=1992; citation_pages=293-318; citation_doi=10.1007/BF01581204; citation_id=CR6 citation_journal_title=Commun. Pure Appl. Anal.; citation_title=Convergence of generalized proximal point algorithm; citation_author=G. Marino, H.K. Xu; citation_volume=3; citation_publication_date=2004; citation_pages=791-808; citation_doi=10.3934/cpaa.2004.3.791; citation_id=CR7 citation_journal_title=J. Lond. Math. Soc.; citation_title=Iterative algorithms for nonlinear operators; citation_author=H.K. Xu; citation_volume=66; citation_publication_date=2002; citation_pages=240-256; citation_doi=10.1112/S0024610702003332; citation_id=CR8 citation_journal_title=J. Comput. Appl. Math.; citation_title=On convergence criteria of generalized proximal point algorithms; citation_author=Y. Yao, M.A. Noor; citation_volume=217; citation_publication_date=2008; citation_pages=46-55; citation_doi=10.1016/j.cam.2007.06.013; citation_id=CR9 citation_journal_title=Fixed Point Theory Appl.; citation_title=Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces; citation_author=S. Montira, P. Narin, S. Suthep; citation_volume=2017; citation_publication_date=2017; citation_id=CR10 citation_journal_title=J. Nonlinear Convex Anal.; citation_title=Weak and strong convergence of algorithms for the split common null point problem; citation_author=C. Byrne, Y. Censor, A. Gibali, S. Reich; citation_volume=13; citation_publication_date=2012; citation_pages=759-775; citation_id=CR11 citation_journal_title=Set-Valued Var. Anal.; citation_title=Iterative methods for generalized split feasibility problems in Hilbert spaces; citation_author=W. Takahashi, H.K. Xu, J.C. Yao; citation_volume=23; citation_publication_date=2015; citation_pages=205-221; citation_doi=10.1007/s11228-014-0285-4; citation_id=CR12 citation_journal_title=J. Math. Anal. Appl.; citation_title=Ergodic convergence to a zero of the sum of monotone operators in Hilbert space; citation_author=G.B. Passty; citation_volume=72; citation_publication_date=1979; citation_pages=383-390; citation_doi=10.1016/0022-247X(79)90234-8; citation_id=CR13 citation_journal_title=Houst. J. Math.; citation_title=On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces; citation_author=J.B. Baillon, R.E. Bruck, S. Reich; citation_volume=4; citation_publication_date=1978; citation_pages=1-9; citation_id=CR14 citation_journal_title=Abstr. Appl. Anal.; citation_title=The viscosity approximation forward–backward splitting method for zeros of the sum of monotone operators; citation_author=O.A. Boikanyo; citation_volume=2016; citation_publication_date=2016; citation_doi=10.1155/2016/2371857; citation_id=CR15 citation_journal_title=J. Optim. Theory Appl.; citation_title=Averaged mappings and the gradient-projection algorithm; citation_author=H.K. Xu; citation_volume=150; citation_publication_date=2011; citation_pages=360-378; citation_doi=10.1007/s10957-011-9837-z; citation_id=CR16 citation_journal_title=Inverse Probl.; citation_title=A unified treatment of some iterative algorithms in signal processing and image reconstruction; citation_author=C. Byrne; citation_volume=20; citation_publication_date=2004; citation_pages=103-120; citation_doi=10.1088/0266-5611/20/1/006; citation_id=CR17 citation_title=Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings; citation_publication_date=1984; citation_id=CR18; citation_author=K. Goebel; citation_author=S. Reich; citation_publisher=Dekker citation_title=Introduction to Nonlinear and Convex Analysis; citation_publication_date=2009; citation_id=CR19; citation_author=W. Takahashi; citation_publisher=Yokohama Publishers citation_journal_title=J. Optim. Theory Appl.; citation_title=Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces; citation_author=S. Takahashi, W. Takahashi, M. Toyoda; citation_volume=147; citation_publication_date=2010; citation_pages=27-41; citation_doi=10.1007/s10957-010-9713-2; citation_id=CR20 citation_title=Nonlinear Semigroups and Differential Equations in Banach Spaces; citation_publication_date=1976; citation_id=CR21; citation_author=V. Barbu; citation_publisher=Noordhoff citation_title=Nonlinear Functional Analysis: Fixed Point Theory and Its Applications; citation_publication_date=2000; citation_id=CR22; citation_author=W. Takahashi; citation_publisher=Yokohama Publishers citation_journal_title=J. Math. Anal. Appl.; citation_title=Viscosity approximation methods for nonexpansive mapping; citation_author=H.K. Xu; citation_volume=298; citation_publication_date=2004; citation_pages=279-291; citation_doi=10.1016/j.jmaa.2004.04.059; citation_id=CR23 citation_journal_title=Isr. J. Math.; citation_title=Quelques propriétés des opérateurs angle-bornés et n-cycliquement monotones; citation_author=J.B. Baillon, G. Haddad; citation_volume=26; citation_issue=2; citation_publication_date=1977; citation_pages=137-150; citation_doi=10.1007/BF03007664; citation_id=CR24 citation_journal_title=Fixed Point Theory Appl.; citation_title=Iterative methods for the split common fixed point problem in Hilbert spaces; citation_author=H. Cui, F. Wang; citation_volume=2014; citation_publication_date=2014; citation_doi=10.1186/1687-1812-2014-78; citation_id=CR25 citation_journal_title=Nonlinear Anal., Theory Methods Appl.; citation_title=A note on the split common fixed-point problem for quasi-nonexpansive operators; citation_author=A. Moudafi; citation_volume=74; citation_publication_date=2011; citation_pages=4083-4087; citation_doi=10.1016/j.na.2011.03.041; citation_id=CR26 citation_journal_title=J. Math. Anal. Appl.; citation_title=Strong convergence to common fixed points of families of nonexpansive mappings; citation_author=T. Shimizu, W. Takahashi; citation_volume=211; citation_publication_date=1997; citation_pages=71-83; citation_doi=10.1006/jmaa.1997.5398; citation_id=CR27 citation_journal_title=J. Appl. Math.; citation_title=Strong convergence of the viscosity approximation process for the split common fixed-point problem of quasi-nonexpansive mappings; citation_author=J. Zhao, S. He; citation_volume=2012; citation_publication_date=2012; citation_id=CR28