논문KCI 등재
Convergence of Ishikawa'method for generalized hybrid mappings
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회논문집 (Communications of the KMS)|제28권 제1호|pp. 135-141
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In this paper, we first talk about a more wide class of nonlinear mappings, Then, we deal with weak convergence theorems for generalized hybrid mappings in a Hilbert space.
Abstract
In this paper, we first talk about a more wide class of nonlinear mappings, Then, we deal with weak convergence theorems for generalized hybrid mappings in a Hilbert space.
참고문헌 (19)
- K. Aoyama, "Fixed point and ergodic theorems for -hybrid mappings in Hilbert spaces", J. Nonlinear Convex Anal, 11(2), pp.335~343 (2010)
- E. Blum, "From optimization and variational inequalities to equilibrium problems", Math. Student, 43(1), pp.123~145 (1994)
- F. E. Browder, "Convergence theorems for sequences of nonlinear operators in Banach spaces", Math. Z, 100, pp.201~225 (1967)
- P. L. Combettes, "Equilibrium programming in Hilbert spaces", J. Non- linear Convex Anal, 6(1), pp.117~136 (2005)
- K. Goebel, "Topics in Metric Fixed Point Theory" (1990), Cambridge University Press
- B. Halpern, "Fixed points of nonexpanding maps", Bull. Amer. Math. Soc, 73, pp.957~961 (1967)
- M. Hojo, "Strong convergence theorems for 2- generalized hybrid mappings in Hilbert spaces", Nonlinear Anal, 75(4), pp.2166~2176 (2012)
- S. Iemoto, "Approximating fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space", Nonlinear Anal, 71(12), pp.2082~2089 (2009)
- S. Ishikawa, "Fixed points by a new iteration", Proc. Amer. Math. Soc, 44, pp.147~150 (1974)
- S. Itoh, "The common fixed point theory of single-valued mappings and multi-valued mappings", Pacific J. Math, 79(2), pp.493~508 (1978)
- F. Kohsaka, "Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces", Arch. Math, 91(2), pp.166~177 (2008)
- F. Kohsaka, "Existence and approximation of fixed points of firmly nonexpansive-type map- pings in Banach spaces", SIAM J. Optim, 19(2), pp.824~835 (2008)
- P. Kocourek, "Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces", Taiwanese J. Math, 14(6), pp.2497~2511 (2010)
- W. R. Mann, "Mean value methods in iteration method", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
- Z. Opial, "Weak convergence of the sequence of successive approximations for nonexpan- sive mappings", Bull. Amer. Math. Soc, 73, pp.591~597 (1967)
- W. Takahashi, "Nonlinear Functional Analysis" (2000), Yokohoma Publishers
- W. Takahashi, "Introduction to Nonlinear and Convex Analysis" (2005), Yokohama Publishers
- W. Takahashi, "Toyoda, Weak convergence theorems for nonexpansive mappings and monotone mappings", J. Optim. Theory Appl, 118(2), pp.417~482 (2003)
- W. Takahashi, "Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces", Taiwanese J. Math, 15(2), pp.457~472 (2011)
관련 논문AI추천
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