| Title:
|
A generalization of the interior mapping theorem of Clarke and Pourciau (English) |
| Author:
|
Fabián, Marián J. |
| Author:
|
Preiss, David |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1987 |
| Pages:
|
311-324 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46G05 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47H99 |
| MSC:
|
47J05 |
| MSC:
|
58C15 |
| idZBL:
|
Zbl 0625.46052 |
| idMR:
|
MR904756 |
| . |
| Date available:
|
2008-06-05T21:29:08Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106543 |
| . |
| Reference:
|
[1] J. CARISTI: Fixed point theorems for mappings satisfying inwardness conditions.Trans. Amer. Math. Soc. 215 (1976), 241-251. Zbl 0305.47029, MR 0394329 |
| Reference:
|
[2] F. H. CLARKE: On the inverse function theorem.Pacific J. Math. 64 (1976), 97-102. Zbl 0331.26013, MR 0425047 |
| Reference:
|
[3] W. J. CRAMER, Jr. W. O. RAY: Solvability of nonlinear operator equations.Pacific J. Math. 95 (1981), 37-50. MR 0631657 |
| Reference:
|
[4] J. DIESTEL: Geometry of Banach spaces - Selected topics.Lect. Notes 485, Springer Verlag, Berlin 1975. Zbl 0307.46009, MR 0461094 |
| Reference:
|
[5] D. DOWNING W. A. KIRK: A generalization of Caristi's theorem with applications to nonlinear mapping theory.Pacific J. Math. 69 (1977), 339-346. MR 0440426 |
| Reference:
|
[6] D. S. DŽUMABAEV: On solvability of nonlinear closed operator equations.(Russian), Izv. Akad. Nauk Kazach. SSR, Ser. Fyz.-Mat. No. 1, 1984, 31-34. MR 0749322 |
| Reference:
|
[7] M. FABIAN: Concerning interior mapping theorem.Comment. Math. Univ. Carolinae 20 (1979), 345-356. Zbl 0393.46008, MR 0539563 |
| Reference:
|
[8] M. FABIAN L. ZAJÍČEK V. ZIZLER: On residuality of the set of rotund norms on a Banach space.Math. Ann. 258 (1982), 349-351. MR 0649205 |
| Reference:
|
[9] L. M. GRAVES: Some mapping theorems.Duke Math. J. 17 (1950), 111-114. Zbl 0037.20401, MR 0035398 |
| Reference:
|
[10] V. PTÁK: A quantitative refinement of the closed graph theorem.Czech. Math. 3. 24 (1974), 503-506. MR 0348431 |
| Reference:
|
[11] B. H. POURCIAU: Analysis and optimization of Lipschitz continuous mappings.J. Opt. Theory Appl. 22 (1977), 311-351. Zbl 0336.26008, MR 0454813 |
| Reference:
|
[12] T. SZILÁGYI: Generalization of the implicit function theorem and of Banach s open mapping theorem.Acta Scient. Math. 38 (1977), 391-396. MR 0501071 |
| Reference:
|
[13] C. URSESCU: .Letter to the first named author, January 1984. |
| . |
