Discussiones Mathematicae Differential Inclusions 19 (1999) 103-109

[BIBTex]

ON THE ITERATIVE TEST FOR j-CONTRACTIVE MAPPINGS IN UNIFORM SPACES

Vasil G. Angelov

Department of Mathematics, University of Mining and Geology
"St. I. Rilski" 1100 Sofia, Bulgaria

Abstract

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

Keywords: Uniform space, j-bounded space, j-contractive mapping.

1991 Mathematics Subject Classifications: 47H09, 54E15.

References

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

Received 21 April 1999