On the iterative test for j-contractive mappings in uniform spaces

Vasil G. Angelov

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1999)

  • Volume: 19, Issue: 1-2, page 103-109
  • ISSN: 1509-9407

Abstract

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Edelstein iterative test for j-contractive mappings in uniform spaces is established.

How to cite

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Vasil G. Angelov. "On the iterative test for j-contractive mappings in uniform spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 19.1-2 (1999): 103-109. <http://eudml.org/doc/275862>.

@article{VasilG1999,
abstract = {Edelstein iterative test for j-contractive mappings in uniform spaces is established.},
author = {Vasil G. Angelov},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Uniform space; j-bounded space; j-contractive mapping; contractive map; iterative test; iteration procedure; uniform space},
language = {eng},
number = {1-2},
pages = {103-109},
title = {On the iterative test for j-contractive mappings in uniform spaces},
url = {http://eudml.org/doc/275862},
volume = {19},
year = {1999},
}

TY - JOUR
AU - Vasil G. Angelov
TI - On the iterative test for j-contractive mappings in uniform spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1999
VL - 19
IS - 1-2
SP - 103
EP - 109
AB - Edelstein iterative test for j-contractive mappings in uniform spaces is established.
LA - eng
KW - Uniform space; j-bounded space; j-contractive mapping; contractive map; iterative test; iteration procedure; uniform space
UR - http://eudml.org/doc/275862
ER -

References

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  1. [1] M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74-79. Zbl0113.16503
  2. [2] Sam B. Nadler, Jr., A note on an iterative test of Edelstein, Canad. Math. Bull. 15 (3) (1972), 381-386. Zbl0244.54027
  3. [3] V.G. Angelov, j-nonexpansive mappings in uniform spaces and applications, Bull. Austr. Math. Soc. 43 (2) (1991), 331-339. Zbl0702.54028
  4. [4] A.Weil, Sur les espaces structure uniforme et sur la topologie generale,Hermann & C-ie, Ed. Paris 1938. Zbl0019.18604
  5. [5] J.L. Kelley, General Topology, D. van Nostrand Co., Inc. Princeton, New Jersey 1953. 
  6. [6] V.G. Angelov, Fixed points of densifying mappings in locally convex spaces and applications, J. Institute of Mathematics and Computer Sciences (Calcuta) 2 (1989), 22-39. 

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