Weak and strong convergence theorems for the modified Ishikawa iteration for two hybrid multivalued mappings in Hilbert spaces

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참고문헌 (27)

1. R. P. Agarwal, "Fixed point theory for Lipschitzian-type mappings with applications, Topological Fixed Point Theory and Its Applications", pp.6~ (2009), Springer
2. H. H. Bauschke, "Projection and proximal point methods: convergence results and counterexamples", Nonlinear Anal., 56(5), pp.715~738 (2004)[DOI]
3. F. E. Browder, "Nonexpansive nonlinear operators in a Banach space", Proc. Nat. Acad. Sci. USA, 54, pp.1041~1044 (1965)[DOI]
4. A. Buangern, "Iterative methods for a generalized equilibrium problem and a nonexpansive multi-valued mapping", Vietnam J. Math., 45(3), pp.477~492 (2017)[DOI]
5. P. Cholamjiak, "Fixed point theorems for hybrid multivalued mappings in Hilbert spaces", J. Fixed Point Theory Appl., 18(3), pp.673~688 (2016)[DOI]
6. K. Goebel, "Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics", pp.28~ (1990), Cambridge University Press
7. K. Goebel, "Uniform Convexity, Hyperbolic Geometry, and Nonexpansive mappings, Monographs and Textbooks in Pure and Applied Mathematics", pp.83~ (1984), Marcel Dekker, Inc.
8. D. Gohde, "Zum Prinzip der kontraktiven Abbildung", Math. Nachr., 30, pp.251~258 (1965)[DOI]
9. S. Iemoto, "Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space", Nonlinear Anal., 71(12), pp.e2082~e2089 (2009)[DOI]
10. S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc., 44, pp.147~150 (1974)[DOI]
11. W. A. Kirk, "A fixed point theorem for mappings which do not increase distances", Amer. Math. Monthly, 72, pp.1004~1006 (1965)[DOI]
12. F. Kohsaka, "Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces", SIAM J. Optim., 19(2), pp.824~835 (2008)[DOI]
13. F. Kohsaka, "Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces", Arch. Math. (Basel), 91(2), pp.166~177 (2008)[DOI]
14. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc., 4, pp.506~510 (1953)[DOI]
15. G. Marino, "Weak and strong convergence theorems for strict pseudocontractions in Hilbert spaces", J. Math. Anal. Appl., 329(1), pp.336~346 (2007)[DOI]
16. C. Martinez-Yanes, "Strong convergence of the CQ method for fixed point iteration processes", Nonlinear Anal., 64(11), pp.2400~2411 (2006)[DOI]
17. K. Nakajo, "Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups", J. Math. Anal. Appl., 279(2), pp.372~379 (2003)[DOI]
18. H. Piri, "Generalization of Khan fixed point theorem", J. Math. Computer Sci., 17, pp.76~83 (2017)[DOI]
19. S. Reich, "Research Problems: The fixed point property for non-expansive mappings", Amer. Math. Monthly, 83(4), pp.266~268 (1976)[DOI]
20. S. Reich, "Approximate selections, best approximations, fixed points, and invariant sets", J. Math. Anal. Appl., 62(1), pp.104~113 (1978)[DOI]
21. S. Reich, "Weak convergence theorems for nonexpansive mappings in Banach spaces", J. Math. Anal. Appl., 67(2), pp.274~276 (1979)[DOI]
22. S. Reich, "Research Problems: The fixed point property for non-expansive mappings. II", Amer. Math. Monthly, 87(4), pp.292~294 (1980)[DOI]
23. S. Suantai, "Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings", J. Math. Anal. Appl., 311(2), pp.506~517 (2005)[DOI]
24. S. Suantai, "On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces", Fixed Point Theory Appl., 2016, pp.16~ (2016)[DOI]
25. W. Takahashi, "Nonlinear Functional Analysis" (2000), Yokohama Publishers
26. W. Takahashi, "Fixed point theorems for new nonlinear mappings in a Hilbert space", J. Nonlinear Convex Anal., 11(1), pp.79~88 (2010)
27. W. Takahashi, "Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces", J. Math. Anal. Appl., 341(1), pp.276~286 (2008)[DOI]

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