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

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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

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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

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  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

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