International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 57-64
doi:10.1155/S0161171292000073
R-continuous functions
Ch. Konstadilaki-Savvopoulou
and D. Janković
Department of Mathematics and Statistics, University of Auckland, Auckland, New Zealand
Abstract
A strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration are R-continuous. Several results in the literature concerning strong continuity properties are generalized and/or improved.