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THREE-STEP ITERATIVE ALGORITHMS FOR FIXED POINT PROBLEMS AND VARIATIONAL INCLUSION PROBLEMS

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In this paper, a three-step iterative method is considered for finding a common element in the set of fixed points of a non-expansive mapping and in the set of solutions of a variational inclusion problem in a real Hilbert space.

Abstract

In this paper, a three-step iterative method is considered for finding a common element in the set of fixed points of a non-expansive mapping and in the set of solutions of a variational inclusion problem in a real Hilbert space.

참고문헌 (21)

  1. S. Adly, "Solvability of generalized nonlinear symmetric variational inequalities", J. Austral. Math. Soc. Ser. B, 40(3), pp.289~300 (1999)
  2. H. Br´ezis, "Op´erateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert", North-Holland Mathematics Studies, (5) (1973), North-Holland Publishing Co.
  3. Y. J. Cho, "On systems of generalized nonlinear variational inequalities in Banach spaces", Appl. Math. Comput., 206(1), pp.214~220 (2008)
  4. Y. J. Cho, "Generalized systems for relaxed cocoercive variational inequalities and projection methods in Hilbert spaces", Math. Inequal. Appl., 12(2), pp.365~375 (2009)
  5. Y. J. Cho, "Systems of generalized nonlinear variational inequalities and its projection methods", Nonlinear Anal., 69(12), pp.4443~4451 (2008)
  6. Y. J. Cho, "Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems", Nonlinear Anal., 71(9), pp.4203~4214 (2009)
  7. R. Glowinski, "Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics", SIAM Studies in Applied Mathematics, 9 (1989), Society for Industrial and Applied Mathematics
  8. A. Hamdi, "A modified Bregman proximal scheme to minimize the difference of two convex functions", Appl. Math. E-Notes, 6, pp.132~140 (2006)
  9. S. Haubruge, "Convergence analysis and applications of the Glowinski-Le Tallec splitting method for finding a zero of the sum of two maximal monotone operators", J. Optim. Theory Appl., 97(3), pp.645~673 (1998)
  10. A. Moudafi, "On the difference of two maximal monotone operators: regularization and algorithmic approaches", Appl. Math. Comput., 202(2), pp.446~452 (2008)
  11. M. A. Noor, "Three-step iterative algorithms for multivalued quasi variational inclusions", J. Math. Anal. Appl., 255(2), pp.589~604 (2001)
  12. M. A. Noor, "General variational inequalities and nonexpansive mappings", J. Math. Anal. Appl., 331(2), pp.810~822 (2007)
  13. M. A. Noor, "Three-step methods for nonexpansive mappings and variational inequalities", Appl. Math. Comput., 187(2), pp.680~685 (2007)
  14. M. A. Noor, "Some resolvent iterative methods for variational inclusions and nonexpansive mappings", Appl. Math. Comput., 194(1), pp.267~275 (2007)
  15. M. A. Noor, "On difference of two monotone operators", Optim. Lett., 3(3), pp.329~335 (2009)
  16. M. A. Noor, "Three-step iterations for nonlinear accretive operator equations", J. Math. Anal. Appl., 274(1), pp.59~68 (2002)
  17. X. Qin, "Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces", Cent. Eur. J. Math., 5(2), pp.345~357 (2007)
  18. S. Reich, "Constructive Techniques for Accretive and Monotone Operators", Applied nonlinear analysis (Proc. Third Internat. Conf., Univ. Texas, Arlington, Tex., 1978), pp.335~345 (1979), Academic Press
  19. M. Shang, "Three-step iterations for nonexpansive mappings and inverse-strongly monotone mappings", J. Syst. Sci. Complex., 22(2), pp.333~344 (2009)
  20. B. Xu, "Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces", J. Math. Anal. Appl., 267(2), pp.444~453 (2002)
  21. Y. Yao, "On viscosity iterative methods for variational inequalities", J. Math. Anal. Appl., 325(2), pp.776~787 (2007)

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