논문KCI 등재
A NEW APPROXIMATION SCHEME FOR FIXED POINTSOF ASYMPTOTICALLY ø-HEMICONTRACTIVE MAPPINGS
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회논문집 (Communications of the KMS)|제27권 제1호|pp. 167-174
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초록
In this paper, we introduce an asymptotically $\phi$-hemicontractive mapping with a $\phi$-normalized duality mapping and obtain some strongly convergent result of a kind of multi-step iteration schemes for asymptotically $\phi$-hemicontractive mappings.
Abstract
In this paper, we introduce an asymptotically $\phi$-hemicontractive mapping with a $\phi$-normalized duality mapping and obtain some strongly convergent result of a kind of multi-step iteration schemes for asymptotically $\phi$-hemicontractive mappings.
참고문헌 (11)
- Y. J. Cho, "Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings", Comput. Math. Appl, 47(4-5), pp.707~717 (2004)
- R. Glowinski, "Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics" (1989), SIAM
- K. Goebel, "A xed point theorem for asymptotically nonexpansive map- pings", Proc. Amer. Math. Soc, 35, pp.171~174 (1972)
- G. Isac, "The convergence property of Ishikawa iteration schemes in noncom- pact subsets of Hilbert spaces and its applications to complementarity theory", Comput. Math. Appl, 47(10-11), pp.1745~1751 (2004)
- M. A. Noor, "New approximation schemes for general variational inequalities", J. Math. Anal. Appl, 251(1), pp.217~229 (2000)
- E. U. Ofoedu, "Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space", J. Math. Anal. Appl, 321(2), pp.722~728 (2006)
- B. E. Rhoades, "A comparison of various denitions of contractive mappings", Trans. Amer. Math. Soc, 226, pp.257~290 (1977)
- B. E. Rhoades, "The equivalence between Mann-Ishikawa iterations and multistep iteration", Nonlinear Anal, 58(1-2), pp.219~228 (2004)
- J. Schu, "Iterative construction of xed point of asymptotically nonexpansive mappings", J. Math. Anal. Appl, 158(2), pp.407~413 (1991)
- X.Weng, "Fixed point iteration for local strictly pseudo-contractive mapping", Proc. Amer. Math. Soc, 113(3), pp.727~731 (1991)
- H. K. Xu, "Inequalities in Banach spaces with application", Nonlinear Anal, 16(12), pp.1127~1138 (1991)
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