Alternating resolvent algorithms for finding a common zero of two accretive operators in Banach spaces

키워드

참고문헌 (32)

1. R. P. Agarwal, "Fixed Point Theory for Lipschitzian-type Mappings with Applications" (2009), Springer
2. V. Barbu, "Nonlinear Semigroups and Differential Equations in Banach Space" (1976), Noordhoff
3. H. H. Bauschke, "The asymptotic behavior of the compo-sition of two resolvents", Nonlinear Anal, 60(2), pp.283~301 (2005)
4. H. H. Bauschke, "Projection and proximal point methods convergence results and counterexamples", Nonlinear Anal, 56(5), pp.715~738 (2004)
5. L. M. Bregman, "The method of successive projection for finding a common point of convex sets", Sov. Math. Dokl, 6, pp.688~692 (1965)
6. I. Cioranescu, "Geometry of Banach Spaces, "Duality Mappings and Nonlinear Prob-lems"" (1990), Kluwer Academic Publishers
7. K. Goebel, "Topics in Metric Fixed Point Theory" (1990), Cambridge Univ. Press
8. K. Goebel, "Uniform Convexity, Hyperbolic Geometry and Nonexpansive Mappings" (1984), Marcel Dekker
9. A. A. Goldstein, "Convex programming in Hilbert space", Bull. Amer. Math. Soc, 70, pp.709~710 (1964)
10. G. Guler, "On the convergence of the proximal point algorithm for convex minimization", SIAM J. Control Optim, 29(2), pp.403~419 (1991)
11. H. Hundal, "An alternating projection that does not converge in norm", Nonlinear Anal, 57(1), pp.35~61 (2004)
12. J. S. Jung, "Viscosity approximation methods for a family of finite nonexpansive map-pings in Banach spaces", Nonlinear Anal. Appl, 64(11), pp.2536~2552 (2006)
13. J. S. Jung, "Iterative methods for pseudocontractive mappings in Banach spaces", Abstr. Appl. Anal, 2013, pp.7~ (2013)
14. J. K. Kim, "Convergence rates in regularization for a system of nonlinear ill-posed equations with m-accretive operators", J. Inequal. Appl, 2014(440), pp.9~ (2014)
15. J. K. Kim, "Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces", Fixed Point Theory Appl, 2011(52), pp.10~ (2011)
16. N. Lehdili, "Combining the proximal algorithm and Tikhonov regular-ization", Optim, 37(3), pp.239~252 (1996)
17. E. S. Levitin, "Constrained Minimization Method", USSR Comput. Math. Math. Phys, 6, pp.1~50 (1966)
18. B. Martinet, "Regularisation d'inequations variationnelles par approximations succes-sives", (French) Rev. Francaise Informat. Recherche Operationnalle, 4(R-3), pp.154~158 (1970)
19. J. von Neumann, "Functional Operators. II. The Geometry of Orthogonal Space" (1950), Princeton University Press
20. Z. Opial, "Weak convergence of the sequence of successive approximations for nonexpan-sive mappings", Bull. Amer. Math. Soc, 73, pp.591~597 (1967)
21. W. V. Petryshn, "A characterization of strict convexity of Banach spaces and other uses of duality mappings", J. Funct. Anal, 6, pp.282~291 (1970)
22. R. T. Rockafellar, "Characterization of the subdifferentials of convex functions", Pacific J. Math, 17, pp.497~510 (1966)
23. R. T. Rockafellar, "On the maximality of sums of nonlinear monotone operators", Trans. Amer. Math. Soc, 149, pp.75~88 (1970)
24. R. T. Rockafellar, "Monotone operators and proximal point algorithm", SIAM J. Control Optim, 14(5), pp.877~898 (1976)
25. D. R. Sahu, "The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces", J. Global Optim, 51(4), pp.641~655 (2011)
26. Y. Song, "A note on a paper: A regularization method for the proximal point algorithm", J. Global Optim, 43(1), pp.171~174 (2009)
27. S. Takahashi, "Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces", J. Optim. Theory Appl, 147(1), pp.27~41 (2010)
28. T. M. Tuyen, "A regularization proximal point algorithm for zeros of accretive operators in Banach spaces", Afr. Diaspora J. Math, 13(2), pp.62~73 (2012)
29. T. M. Tuyen, "Strong convergence theorem for a common zero of m-accretive mappings in Banach spaces by viscosity approximation methods", Nonl. Func. Anal. Appl, 17(2), pp.187~197 (2012)
30. N. C. Wong, "Solving variational inequalities involving non-expansive type mappings", Nonlinear Anal, 69(12), pp.4732~4753 (2008)
31. H. K. Xu, "A regularization method for the proximal point algorithm", J. Global Optim, 36(1), pp.115~125 (2006)
32. H. K. Xu, "Strong convergence of an iterative method for nonexpansive and accretive op-erators", J. Math. Anal. Appl, 314(2), pp.631~643 (2006)

관련 논문AI추천