一致光滑Banach空间内多值单调算子不动点的迭代*
Iterative Construction of Fixed Points for Multivalued operators of the Monotone Type in Uniformly Smooth Banach Spaces
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摘要: 本文在一致光滑Banacb空间中,讨论了满足一个单调型条件的多值映射的不动点的迭代过程。
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关键词:
- 多值算子 /
- 单调型 /
- 一致光滑Banach空间
Abstract: The fixed points of set-valued operators satisfying a condition of monotonicity type in s-uniformly smooth Banach spaces are approximated by recursive averaging process in the present paper.-
Key words:
- multivalued operator /
- monotonc type /
- uniformly smooth Banach space
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[1] Chidume,C.E.,Iterative consturction of fixed points for multivalued operators of the monotone type,Appl.Anal.,23(1986),209-218. [2] Dunn,J.C.,Iterative construction of fixed points for multivalued operators of the monotone type,J.Fturc}.Anal,27(1978),38-50. [3] Istratescu,Vasile 1.,Fixed Point Theory,D.Reidel Publishing Company(1981). [4] Lindenstrauss,J.and L.Tsafriri,Classical Bancrch Spnces,II.,Springer-Verlag,New York/Berlin(1979). [5] Xu,Z.B.and G.F.Roach,Characteristic inequalities of uniformly convex and uniformly smooth Banach Spaces,J.Math.Anal.Appl.157(1991),189-210.
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