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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 305 - 315 (11page)
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The purpose of this paper is to study the existence and uniqueness of the fixed point of uniformly pseudo-contractive operator and the solution of equation with uniformly accretive operator, and to approximate the xed point and the solution by the Mann iterative sequence in an arbitrary Banach space or an uniformly smooth Banach space respectively. The results presented in this paper show that if X is a real Banach space and A : X -> X is an uniformly accretive operator and (I-A)X is bounded then A is a mapping onto X when A is continuous or X* is uniformly convex and A is demicontinuous. Consequently, the corresponding results which depend on the assumptions that the fixed point of operator and solution of the equation are in existence are improved.
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참고문헌 (24)
참고문헌 신청
[학술지(정기간행물)
B. E. Rhoades / 2004 / The equivalence between the convergence of Ishikawa and Mann iterations for an asymptotically non-expansive in the intermediate sense and strongly suc
C. Moore / 2001 / Iterative solution of nonlinear equations involving set-valued uniformly accretive operators / Comput. Math. Appl 42 : 131 ~ 140
F. E. Browder / 1967 / Nonlinear mappings of nonexpansive and accretive type in Banach spaces / Bull. Amer. Math. Soc 73 : 875 ~ 882
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
B. E. Rhoades / 2004 / The equivalence between the convergence of Ishikawa and Mann iterations for an asymptotically non-expansive in the intermediate sense and strongly suc
C. Moore / 2001 / Iterative solution of nonlinear equations involving set-valued uniformly accretive operators / Comput. Math. Appl 42 : 131 ~ 140
F. E. Browder / 1967 / Nonlinear mappings of nonexpansive and accretive type in Banach spaces / Bull. Amer. Math. Soc 73 : 875 ~ 882
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
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