On measures of noncompactness in Banach spaces

Józef Banaś

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 1, page 131-143
  • ISSN: 0010-2628

How to cite

top

Banaś, Józef. "On measures of noncompactness in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 021.1 (1980): 131-143. <http://eudml.org/doc/17021>.

@article{Banaś1980,
author = {Banaś, Józef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {measure of noncompactness; Darbo property; ordinary differential equation in Banach space},
language = {eng},
number = {1},
pages = {131-143},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On measures of noncompactness in Banach spaces},
url = {http://eudml.org/doc/17021},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Banaś, Józef
TI - On measures of noncompactness in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 1
SP - 131
EP - 143
LA - eng
KW - measure of noncompactness; Darbo property; ordinary differential equation in Banach space
UR - http://eudml.org/doc/17021
ER -

References

top
  1. J. BANAŚ, Relative measures of noncompactness in Banach spaces, Ph.D. Thesis, Lublin 1978 (in Polish). (1978) 
  2. J. BANAŚ K. GOEBEL, Measures of noncompactness in Banach spaces, (preprint). MR0591679
  3. J. DANEŠ, On densifying and related mappings and their applications in nonlinear functional analysis, Theory of nonlinear operators, Akademie-Verlag, Berlin 1974, 15-56. (1974) MR0361946
  4. J. DANEŠ, Some fixed point theorems in metric and Banach spaces, Comment. Math. Univ. Carolinae 12 (1971), 37-50. (1971) MR0287398
  5. G. DARBO, Punti uniti in transformazioni a condominio non compatto, Rend. Sem. Math. Univ. Padova, 24 (1955), 84-92. (1955) MR0070164
  6. K. GOEBEL, Thickness of sets in metric spaces and its applications to the fixed point theory, Habilit. Thesis, Lublin 1970 (in Polish). (1970) 
  7. K. GOEBEL W. RZYMOWSKI, An existence theorem for the equation in Banach space, Bull. Acad. Polon. Sci., Ser. Math. Astronom. et Phys., 18, 7 (1970), 367-370. (1970) MR0269957
  8. I. T. GOHBERG L. S. GOLDENŠTEIN A. S. MARKUS, Investigation of some properties of bounded linear operators in connection with their q-norms, Učen. Zap. Kishinev. Un-ta, 29 (1957), 29-36 (in Russian). (1957) 
  9. R. JANICKA W. KACZOR, On the construction of aome measures of noncompactness, Ann. Univ. Mariae Curie -Skłodovaka, Sectio A (preprint). 
  10. K. KURATOWSKI, Sur les espaces complets, Fund. Math. 15 (1930), 301-309. (1930) 
  11. B. N. SADOVSKIĬ, Limit compact and condensing operators, Russian Math. Surveys, 27 (1972), 86-144. (1972) MR0428132
  12. B. N. SADOVSKIĬ, On a fixed point principle, Funkc. Analiz i ego Přilož. 1 (1967), no. 2, 74-76 (in Russian). (1967) MR0211302

Citations in EuDML Documents

top
  1. Marian Dawidowski, On the existence of bounded solutions of differential equations in Banach spaces
  2. Mohammed A. Almalahi, Satish K. Panchal, Existence results of ψ-Hilfer integro-differential equations with fractional order in Banach space
  3. Józef Banaś, Andrzej Hajnosz, Stanisław Wędrychowicz, On the equation in Banach spaces
  4. Józef Banaś, Urszula Stopka, The existence and some properties of solutions of a differential equation with deviated argument
  5. Kinga Cichoń, Mieczysław Cichoń, Bianca Satco, Differential inclusions and multivalued integrals

NotesEmbed ?

top

You must be logged in to post comments.