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A NEW APPROXIMATION SCHEME FOR FIXED POINTSOF ASYMPTOTICALLY ø-HEMICONTRACTIVE MAPPINGS

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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)

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  8. B. E. Rhoades, "The equivalence between Mann-Ishikawa iterations and multistep iteration", Nonlinear Anal, 58(1-2), pp.219~228 (2004)
  9. J. Schu, "Iterative construction of xed point of asymptotically nonexpansive mappings", J. Math. Anal. Appl, 158(2), pp.407~413 (1991)
  10. X.Weng, "Fixed point iteration for local strictly pseudo-contractive mapping", Proc. Amer. Math. Soc, 113(3), pp.727~731 (1991)
  11. H. K. Xu, "Inequalities in Banach spaces with application", Nonlinear Anal, 16(12), pp.1127~1138 (1991)

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