A continuous dependence of fixed points of φ -contractive mappings in uniform spaces

Vasil G. Angelov

Archivum Mathematicum (1992)

  • Volume: 028, Issue: 3-4, page 155-162
  • ISSN: 0044-8753

Abstract

top
The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of φ -contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.

How to cite

top

Angelov, Vasil G.. "A continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces." Archivum Mathematicum 028.3-4 (1992): 155-162. <http://eudml.org/doc/247332>.

@article{Angelov1992,
abstract = {The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.},
author = {Angelov, Vasil G.},
journal = {Archivum Mathematicum},
keywords = {complete Hausdorff uniform space; fixed point; contractive mappings; contractive mappings; complete Hausdorff uniform space; nonlinear functional differential equations of neutral type},
language = {eng},
number = {3-4},
pages = {155-162},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces},
url = {http://eudml.org/doc/247332},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Angelov, Vasil G.
TI - A continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 155
EP - 162
AB - The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.
LA - eng
KW - complete Hausdorff uniform space; fixed point; contractive mappings; contractive mappings; complete Hausdorff uniform space; nonlinear functional differential equations of neutral type
UR - http://eudml.org/doc/247332
ER -

References

top
  1. Fixed point theorems in uniform spaces and applications, Czechoslovac Math. J. 37 (1987), 19-33. (1987) MR0875124
  2. Sequence of contractions and fixed points, Pasific J.Math. 27No 3 (1968), 579-585. (1968) MR0240802
  3. Sequence of contractive mapps and fixed points, Pasific J. Math. 31 No 3 (1969), 659-667. (1969) MR0256377
  4. A converse to a contraction mapping theorem in uniform spaces, J. Nonlinear Analysis, TMA, 8 No 10 (1988), 989-996. (1988) Zbl0695.54030MR0962764
  5. Sur les espaces a structure uniforme et sur la topologie generale, Hermann & C-ie Editeurs, Paris, 1937. (1937) 
  6. General Topology, D. Van Nostrand Company, New York, 1959. (1959) MR0070144

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.