Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions

Song Jian-wei

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(7): 613-617

Song Jian-wei. Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions[J]. Applied Mathematics and Mechanics, 1992, 13(7): 613-617.

Citation:

Song Jian-wei. Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions[J]. Applied Mathematics and Mechanics, 1992, 13(7): 613-617.

Citation:

Song Jian-wei. Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions[J]. Applied Mathematics and Mechanics, 1992, 13(7): 613-617.

PDF( 349 KB)

Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions

Song Jian-wei

Department of Mathematics, Jiangxi Normal University, Nanchang

Received Date: 1991-04-15
Publish Date: 1992-07-15

Abstract

Abstract

This paper obtains some fixed point theorems of semidifferentiable semicompact 1-set-contraction maps, which extend some known results in [1, 2, 4, 5, 7].
- semidifferentiable,
- semicompact l-set-contraction,
- positive fixed point

FullText(HTML)

References(8)

References

[1]	Amann,H.,Fixed point equations and nonlinear eigenvalue problem in ordered Banach spaces,SIAM Rev.,18 (1976),620-709.
[2]	Amann,H.,Fixed points of asymptotically linear maps in ordered Banach spaces,J.Funet.Anal.,14(1973),162-171.
[3]	Deimling,K.,Nonlinear Functional Analysis,Springer-Verlag,Berlin Heidelberg,(1985).
[4]	Edmunds,D.E.,A.J.Potter,and C.A.Stuart,Noncompact positive operators,Proc.R.Soc.London,Ser.A,828(1972),67-81.
[5]	Krasnoselskii,M.A.,Positive Solutions of Operator Equations.Noordhoff,Groningen (1964).
[6]	Nussbaum,R.N.,The fixed point index for local condensing maps,Ann.Mat.Pura Appl.,89(1971),217-258.
[7]	Petryshyn,W.V.,Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces,J.Math.Anal.Appl.,133(1988),297-305.
[8]	张庆雍,半紧1-集压缩映象的不动点指数和不动点定理,数学学报,5 (1984),91-98.