| Title:
|
Some fixed point theorems in locally convex spaces and applications to differential and integral equations (English) |
| Author:
|
Rzepecki, Bogdan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
113-127 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
45G10 |
| MSC:
|
47G05 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0461.47028 |
| idMR:
|
MR609939 |
| . |
| Date available:
|
2008-06-05T21:07:15Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106056 |
| . |
| Reference:
|
[1] A. BIELECKI: Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la théorie des équations différentielles ordinaires.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 4 (1956), 261-264. MR 0082073 |
| Reference:
|
[2] F. F. BONSALL: Lectures on some fixed point theorems of functional analysis.Tata Institute of Fundamental Research, Bombay 1962. MR 0198173 |
| Reference:
|
[3] N. BOURBAKI: Espaces vectoriels topologiques.Paris 1953. Zbl 0050.10703 |
| Reference:
|
[4] G. L. CAIN, Jr. M. Z. NASHED: Fixed points and stability for a sum of two operators in locally convex spaces.Pacific J. Math. 39 (1971), 581-592. MR 0322606 |
| Reference:
|
[5] R. EDWARDS: Functional analysis.Theory and applications, New York 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[6] C. J. HIMMELBERG:. : Fixed points of compact multifunctions.J. Math. Anal. Appl. 38 (1972), 205-207. Zbl 0225.54049, MR 0303368 |
| Reference:
|
[7] H. H. KELLER: Differential calculus in locally convex spaces.Springer-Verlag, Lecture Notes in Mathematics, Berlin 1974. Zbl 0293.58001, MR 0440592 |
| Reference:
|
[8] M. A. KRASNOSELSKII: Two remarks on the method of succesive approximations.[in Russian], Uspehi Mat. Nauk 10 (1955), 123-127. MR 0068119 |
| Reference:
|
[9] S. G. KREIN: Linear differential equations in a Banach space.[in Russian], Moscow 1967. MR 0247239 |
| Reference:
|
[10] C. KURATOWSKI: Topologie v. I.Warsaw 1952. |
| Reference:
|
[11] W. R. MELVTN: Some extensions of the Krasnoselskii fixed point theorems.J. Diff. Equat. 11 (1972), 335-348. MR 0301325 |
| Reference:
|
[12] V. MILLIONCHIKOV: A contribution to the theory of differential equations $dx/dt = f(x,t)$ in locally convex space.[in Russian], DAN SSSR 131 (1960), 510-513. MR 0118931 |
| Reference:
|
[13] M. A. NAIMARK: Normed rings.[in Russian], Moscow 1968. MR 0355602 |
| Reference:
|
[14] M. Z. NASHED J. S. W. WONG: Some variants of a fixed point of Krasnoselskii and applications to non-linear integral equations.J. Math. Mech. 18 (1969), 767-777. MR 0238140 |
| Reference:
|
[15] W. A. PETRYSHYN: A new fixed point theorem and its applications.Bull. Amer. Math. Soc. 2 (1972), 225-229. |
| Reference:
|
[16] D. PRZEWORSKA, ROLEWICZ: Equations with transformed argument. An algebraic approach.Warsaw 1973. Zbl 0271.47008, MR 0493449 |
| Reference:
|
[17] B. RZEPECKI: On the Banach principle and its application to theory of differential equations.Comment. Math. 19 (1977), 355-363. MR 0478124 |
| Reference:
|
[18] V. M. SEHGAL S. P. SINGH: On a fixed point theorem of Krasnoselskii for locally convex spaces.Pacific J. Math. 62 (1976), 561-567. MR 0412911 |
| Reference:
|
[19] V. M. SEHGAL S. P. SINGH: A fixed point theorem for the sum of two mappings.Math. Japonica 23 (1978), 71-75. MR 0500289 |
| Reference:
|
[20] K. YOSIDA: Functional analysis.Berlin 1965. Zbl 0126.11504, MR 0180824 |
| . |
