An extension of Kirk-Schöneberg theorem to uniform spaces
Vasil G. Angelov; Lubomir P. Georgiev
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1997)
- Volume: 17, Issue: 1-2, page 89-96
- ISSN: 1509-9407
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topVasil G. Angelov, and Lubomir P. Georgiev. "An extension of Kirk-Schöneberg theorem to uniform spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 17.1-2 (1997): 89-96. <http://eudml.org/doc/275891>.
@article{VasilG1997,
abstract = {An extension of Kirk - Schöneberg surjectivity result is established.},
author = {Vasil G. Angelov, Lubomir P. Georgiev},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Pseudometrically convex uniform space; open, closed and locally expansive mappings},
language = {eng},
number = {1-2},
pages = {89-96},
title = {An extension of Kirk-Schöneberg theorem to uniform spaces},
url = {http://eudml.org/doc/275891},
volume = {17},
year = {1997},
}
TY - JOUR
AU - Vasil G. Angelov
AU - Lubomir P. Georgiev
TI - An extension of Kirk-Schöneberg theorem to uniform spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1997
VL - 17
IS - 1-2
SP - 89
EP - 96
AB - An extension of Kirk - Schöneberg surjectivity result is established.
LA - eng
KW - Pseudometrically convex uniform space; open, closed and locally expansive mappings
UR - http://eudml.org/doc/275891
ER -
References
top- [1] W.A. Kirk, R. Schöneberg, Mapping theorem for local expansions in metric and Banach spaces, J.Math. Anal. Appl. 72 (1) (1979), 114-121. Zbl0415.54008
- [2] K. Deimling, Nonlinear Functional Analysis, Springer Verlag 1985.
- [3] E. Zeidler, Nonlinear Functional Analysis and its Applications I. Fixed Points Theorems, Springer Verlag, 1993. Zbl0794.47033
- [4] K. Menger, Untersuchungen über allgemeine Metrik, Math. Annalen, 100 (1928), 75-163.
- [5] W.A. Kirk, Caristi's fixed point theorem and metric convexity, Colloquium Mathematicum, 36 (1) (1976), 81-86. Zbl0353.53041
- [6] A. Weil, Sur les espaces structure uniforme et sur la topologie generale, Hermann & C-ie, Ed. Paris 1938. Zbl0019.18604
- [7] J. R. Isbell, Uniform spaces, AMS, Providence, Rhod Islande 1964.
- [8] J. L. Kelley, General Topology, D. van Nostrand Co., Inc. Princeton, New Jersey 1953.
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