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Volumn 24, Issue 1-2, 2003, Pages 129-135

Nonstrictly convex minimization over the bounded fixed point set of a nonexpansive mapping

Author keywords

Convex optimization; Fixed point theorem; Hybrid steepest descent method; Monotone operator; Nonexpansive mapping; Variational inequality problem

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION; PARALLEL ALGORITHMS; VARIATIONAL TECHNIQUES;

EID: 0037930573     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-120020250     Document Type: Article
Times cited : (22)

References (17)
  • 1
    • 0002057574 scopus 로고
    • On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces
    • Baillon, J. -B., Bruck, R. E., Reich, S. (1978). On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces. Houston J. Math. 4:1-9.
    • (1978) Houston J. Math. , vol.4 , pp. 1-9
    • Baillon, J.-B.1    Bruck, R.E.2    Reich, S.3
  • 2
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • Bauschke, H. H., Borwein, J. M. (1996). On projection algorithms for solving convex feasibility problems, SIAM Review 38:367-426.
    • (1996) SIAM Review , vol.38 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 3
    • 0002351732 scopus 로고    scopus 로고
    • The mothod of cyclic projections for closed convex sets in Hubert space
    • Bauschke, H. H., Borwein, J. M., Lewis, A. S. (1997). The mothod of cyclic projections for closed convex sets in Hubert space. Contemp. Math. 204:1-38.
    • (1997) Contemp. Math. , vol.204 , pp. 1-38
    • Bauschke, H.H.1    Borwein, J.M.2    Lewis, A.S.3
  • 4
    • 0000445928 scopus 로고
    • Nonexpansive nonlinear operators in a Banach space
    • Browder, F. E. (1965). Nonexpansive nonlinear operators in a Banach space. Proc. Nat. Acad. Sci. 54:1041-1044.
    • (1965) Proc. Nat. Acad. Sci. , vol.54 , pp. 1041-1044
    • Browder, F.E.1
  • 5
    • 0000683866 scopus 로고    scopus 로고
    • An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
    • Censor, Y., Iusem, A. N., Zenios, S. A. (1998). An interior point method with Bregman functions for the variational inequality problem with paramonotone operators. Math. Programming 81:373-400.
    • (1998) Math. Programming , vol.81 , pp. 373-400
    • Censor, Y.1    Iusem, A.N.2    Zenios, S.A.3
  • 6
    • 0027541192 scopus 로고
    • Foundation of set theoretic estimation
    • Combettes, P. L. (1993). Foundation of set theoretic estimation. Proc. IEEE. 81:182-208.
    • (1993) Proc. IEEE , vol.81 , pp. 182-208
    • Combettes, P.L.1
  • 7
    • 0031999680 scopus 로고    scopus 로고
    • Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
    • Deutsch, F., Yamada, I. (1998). Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings. Numer. Funct. Anal. Optim. 19:33-56.
    • (1998) Numer. Funct. Anal. Optim. , vol.19 , pp. 33-56
    • Deutsch, F.1    Yamada, I.2
  • 10
    • 0036477752 scopus 로고    scopus 로고
    • Non-strictly convex minimization over the fixed point set of an asymptotically shrinking nonexpansive mapping
    • Ogura, N., Yamada, I. (2002). Non-strictly convex minimization over the fixed point set of an asymptotically shrinking nonexpansive mapping. Numer. Funct. Anal. Optim. 23:113-137.
    • (2002) Numer. Funct. Anal. Optim. , vol.23 , pp. 113-137
    • Ogura, N.1    Yamada, I.2
  • 12
    • 0000320937 scopus 로고
    • On the convergence of the producs of firmly nonexpansive mappings
    • Tseng, P. (1992). On the convergence of the producs of firmly nonexpansive mappings. SIAM J. Optim. 2:425-434.
    • (1992) SIAM J. Optim. , vol.2 , pp. 425-434
    • Tseng, P.1
  • 13
    • 0000769685 scopus 로고    scopus 로고
    • The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
    • Butnariu, D., Censor, Y., Reich, S., eds. Elsevier
    • Yamada, I. (2001). The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings. In: Butnariu, D., Censor, Y., Reich, S., eds. Inherently Parallel Algorithm for Feasibility and Optimization. Elsevier.
    • (2001) Inherently Parallel Algorithm for Feasibility and Optimization
    • Yamada, I.1
  • 14
    • 0000035888 scopus 로고    scopus 로고
    • Convex projection algorithm from POCS to Hybrid steepest descent method
    • Yamada, I. (2000). Convex projection algorithm from POCS to Hybrid steepest descent method. The Journal of the IEICE (in Japanese) 83:616-623.
    • (2000) The Journal of the IEICE (in Japanese) , vol.83 , pp. 616-623
    • Yamada, I.1
  • 15
    • 0032002260 scopus 로고    scopus 로고
    • Quadratic optimization of fixed points of nonexpansive mappings in Hilbert space
    • Yamada, I., Ogura, N., Yamashita, Y., Sakaniwa, K. (1998). Quadratic optimization of fixed points of nonexpansive mappings in Hilbert space. Numer. Funct. Anal. Optim. 19:165-190.
    • (1998) Numer. Funct. Anal. Optim. , vol.19 , pp. 165-190
    • Yamada, I.1    Ogura, N.2    Yamashita, Y.3    Sakaniwa, K.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.