半可微半紧1-集压缩映象的正不动点的存在性
Existence of Positive Fixed Points for Semidifferentiable Semicompact 1-Set-Contractions
-
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].
-
Key words:
- semidifferentiable /
- semicompact l-set-contraction /
- positive fixed point
-
[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.
计量
- 文章访问数: 1770
- HTML全文浏览量: 108
- PDF下载量: 519
- 被引次数: 0