Iterative Construction of Fixed Points for Multivalued operators of the Monotone Type in Uniformly Smooth Banach Spaces

Deng Lei; Ding Xie-ping

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(10): 849-853

Deng Lei, Ding Xie-ping. Iterative Construction of Fixed Points for Multivalued operators of the Monotone Type in Uniformly Smooth Banach Spaces[J]. Applied Mathematics and Mechanics, 1994, 15(10): 849-853.

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Iterative Construction of Fixed Points for Multivalued operators of the Monotone Type in Uniformly Smooth Banach Spaces

Deng Lei¹,
Ding Xie-ping²

1.
Chongqing Teachers College, Yongchuan, Chongqing;
2.
Sichuan Normal University, Chengdu

Received Date: 1993-09-01
Publish Date: 1994-10-15

Abstract

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.
- multivalued operator,
- monotonc type,
- uniformly smooth Banach space

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References(5)

References

[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.