# A generalization of the interior mapping theorem of Clarke and Pourciau

Marián J. Fabián; David Preiss

Commentationes Mathematicae Universitatis Carolinae (1987)

- Volume: 028, Issue: 2, page 311-324
- ISSN: 0010-2628

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topFabián, Marián J., and Preiss, David. "A generalization of the interior mapping theorem of Clarke and Pourciau." Commentationes Mathematicae Universitatis Carolinae 028.2 (1987): 311-324. <http://eudml.org/doc/17546>.

@article{Fabián1987,

author = {Fabián, Marián J., Preiss, David},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {interior mapping theorem; reflexive Banach spaces; locally approximable by convex subsets of linear continuous surjections; Caristi's fixed point principle},

language = {eng},

number = {2},

pages = {311-324},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A generalization of the interior mapping theorem of Clarke and Pourciau},

url = {http://eudml.org/doc/17546},

volume = {028},

year = {1987},

}

TY - JOUR

AU - Fabián, Marián J.

AU - Preiss, David

TI - A generalization of the interior mapping theorem of Clarke and Pourciau

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1987

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 028

IS - 2

SP - 311

EP - 324

LA - eng

KW - interior mapping theorem; reflexive Banach spaces; locally approximable by convex subsets of linear continuous surjections; Caristi's fixed point principle

UR - http://eudml.org/doc/17546

ER -

## References

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- L. M. GRAVES, Some mapping theorems, Duke Math. J. 17 (1950), 111-114. (1950) Zbl0037.20401MR0035398
- V. PTÁK, A quantitative refinement of the closed graph theorem, Czech. Math. 3. 24 (1974), 503-506. (1974) MR0348431
- B. H. POURCIAU, Analysis and optimization of Lipschitz continuous mappings, J. Opt. Theory Appl. 22 (1977), 311-351. (1977) Zbl0336.26008MR0454813
- T. SZILÁGYI, Generalization of the implicit function theorem and of Banach s open mapping theorem, Acta Scient. Math. 38 (1977), 391-396. (1977) MR0501071
- C. URSESCU, [unknown], Letter to the first named author, January 1984. (1984)

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