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In this paper, we prove that the equivalence between the convergence
of Mann and Ishikawa iterations for the generalized Lipschitzian
and Φ-strongly pseudocontractive mappings in real uniformly smooth Banach
spaces. Our results significantly generalize the recent known results
of [B. E. Rhoades and S. M. Soltuz, The equivalence of Mann iteration
and Ishikawa iteration for non-Lipschitz operators, Int. J. Math. Math.
Sci. 42 (2003), 2645–2651].
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참고문헌 (8)
참고문헌 신청
B. E. Rhoades / 2003 / On the equivalence of Mann and Ishikawa iteration methods / International Journal of Mathematics and Mathematical Sciences (7) : 451 ~ 459
B. E. Rhoades / 2003 / The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators / International Journal of Mathematics and Mathematical Science
F. E. Browder / 1976 / Nonlinear operators and nonlinear equations of evolution in Banach spaces / Nonlinear functional analysis : 1 ~ 308
J. Bogin / 1974 / On Strict Pseudo-Contractions and a Fixed Point Theorem
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
B. E. Rhoades / 2003 / The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators / International Journal of Mathematics and Mathematical Science
F. E. Browder / 1976 / Nonlinear operators and nonlinear equations of evolution in Banach spaces / Nonlinear functional analysis : 1 ~ 308
J. Bogin / 1974 / On Strict Pseudo-Contractions and a Fixed Point Theorem
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
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