# Iterative processes and open mapping theorems

Czechoslovak Mathematical Journal (1989)

- Volume: 39, Issue: 3, page 445-453
- ISSN: 0011-4642

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top## How to cite

topDancs, Stephen. "Iterative processes and open mapping theorems." Czechoslovak Mathematical Journal 39.3 (1989): 445-453. <http://eudml.org/doc/13789>.

@article{Dancs1989,

author = {Dancs, Stephen},

journal = {Czechoslovak Mathematical Journal},

keywords = {closed graph theorem; Banach iteration; open mapping theorems; induction process; Ljusternik iteration; Pták iteration},

language = {eng},

number = {3},

pages = {445-453},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Iterative processes and open mapping theorems},

url = {http://eudml.org/doc/13789},

volume = {39},

year = {1989},

}

TY - JOUR

AU - Dancs, Stephen

TI - Iterative processes and open mapping theorems

JO - Czechoslovak Mathematical Journal

PY - 1989

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 39

IS - 3

SP - 445

EP - 453

LA - eng

KW - closed graph theorem; Banach iteration; open mapping theorems; induction process; Ljusternik iteration; Pták iteration

UR - http://eudml.org/doc/13789

ER -

## References

top- A. V. Dmitruk A. A. Miljutin, N. P. Osmolovski, Theorem of Lusternik and Theory of Extremum, UMN 35 (1980), 11-46 (in Russian). (1980) MR0601755
- A. D. Ioffe, V. M. Tihomirov, The Theory of Extremal Problems, Nauka, Moskow (1974) (in Russian). (1974) MR0410502
- V. Pták, A Quantitative refinement ofthe Closed Graph Theorem, Czechoslovak Math. J. 24 (1974), 503-506. (1974) MR0348431
- V. Pták, Nondiscrete Mathematical Induction and Iterative Existence Proofs, Linear Algebra and its Applications 13 (1976), 223-238. (1976) MR0394119
- V. Pták, A Nonlinear Subtraction Theorem, Proc. R. Ir. Acad. Vol. 82A, No. 1, 47-53 (1982). (1982) MR0669466
- F. A. Potra, V. Pták, Nondiscrete induction and iterative processes, Boston etc., Pitman Advanced Publishing Program, 1984. (1984) MR0754338
- V. Pták, 10.1007/BF02052841, Math. Annalen 165 (1966), 95-104. (1966) MR0192316DOI10.1007/BF02052841

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