Some fixed point theorems in locally convex spaces and applications to differential and integral equations
Rzepecki, Bogdan
Commentationes Mathematicae Universitatis Carolinae, Tome 022 (1981), p. 113-127 / Harvested from Czech Digital Mathematics Library
Publié le : 1981-01-01
Classification:  34A34,  45G10,  47G05,  47H10
@article{106056,
     author = {Bogdan Rzepecki},
     title = {Some fixed point theorems in locally convex spaces and applications to differential and integral equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {022},
     year = {1981},
     pages = {113-127},
     zbl = {0461.47028},
     mrnumber = {609939},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106056}
}
Rzepecki, Bogdan. Some fixed point theorems in locally convex spaces and applications to differential and integral equations. Commentationes Mathematicae Universitatis Carolinae, Tome 022 (1981) pp. 113-127. http://gdmltest.u-ga.fr/item/106056/

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. (1956) | MR 0082073

F. F. Bonsall Lectures on some fixed point theorems of functional analysis, Tata Institute of Fundamental Research, Bombay 1962. (1962) | MR 0198173

N. Bourbaki Espaces vectoriels topologiques, Paris 1953. (1953) | Zbl 0050.10703

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. (1971) | MR 0322606

R. Edwards Functional analysis, Theory and applications, New York 1965. (1965) | MR 0221256 | Zbl 0182.16101

C. J. Himmelberg:. Fixed points of compact multifunctions, J. Math. Anal. Appl. 38 (1972), 205-207. (1972) | MR 0303368 | Zbl 0225.54049

H. H. Keller Differential calculus in locally convex spaces, Springer-Verlag, Lecture Notes in Mathematics, Berlin 1974. (1974) | MR 0440592 | Zbl 0293.58001

M. A. Krasnoselskii Two remarks on the method of succesive approximations, [in Russian], Uspehi Mat. Nauk 10 (1955), 123-127. (1955) | MR 0068119

S. G. Krein Linear differential equations in a Banach space, [in Russian], Moscow 1967. (1967) | MR 0247239

C. Kuratowski Topologie v. I, Warsaw 1952. (1952)

W. R. Melvtn Some extensions of the Krasnoselskii fixed point theorems, J. Diff. Equat. 11 (1972), 335-348. (1972) | MR 0301325

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. (1960) | MR 0118931

M. A. Naimark Normed rings, [in Russian], Moscow 1968. (1968) | MR 0355602

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. (1969) | MR 0238140

W. A. Petryshyn A new fixed point theorem and its applications, Bull. Amer. Math. Soc. 2 (1972), 225-229. (1972)

D. Przeworska; Rolewicz Equations with transformed argument. An algebraic approach, Warsaw 1973. (1973) | MR 0493449 | Zbl 0271.47008

B. Rzepecki On the Banach principle and its application to theory of differential equations, Comment. Math. 19 (1977), 355-363. (1977) | MR 0478124

V. M. Sehgal S. P. Singh On a fixed point theorem of Krasnoselskii for locally convex spaces, Pacific J. Math. 62 (1976), 561-567. (1976) | MR 0412911

V. M. Sehgal S. P. Singh A fixed point theorem for the sum of two mappings, Math. Japonica 23 (1978), 71-75. (1978) | MR 0500289

K. Yosida Functional analysis, Berlin 1965. (1965) | MR 0180824 | Zbl 0126.11504