International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 73-78
doi:10.1155/S0161171294000116

θ-R-continuous functions

C.W. Baker

Department of Mathematics, Indiana University Southeast, New Albany 47150, Indiana, USA

Abstract

A strong form of continuity, called θ-R-continuity, is introduced. It is shown that θ-R-continuity is stronger than R-continuity. Relationships between θ-R-continuity and various closed graph properties are investigated. Additional properties of θ-R-continuous functions are established.