Almost strongly theta-e-continuous functions

Abstract

We introduce and investigate a new class of functions called almost strongly theta-e-continuous functions, containing the classes of almost strongly theta-precontinuous [J. H. Park, S. W. Bae, Y. B. Park, Chaos Soli tons Fractals, 28 (2006), 32-41], almost strongly theta-semicontinuous [Y. Beceren, S. Yiiksel, E. Hatir, Bull. Calcutta Math. Soc., 87 (1995), 329-334] and strongly theta-e-continuous functions [M. Ozkoc, G. Ashm, Bull. Korean Math. Soc., 47 (2010), 1025-1036]. Several characterizations concerning almost strongly theta-e-continuous functions are obtained. Also we investigate the relationships between almost strongly theta-e continuous functions and separation axioms and almost strongly c-closedness of graphs of functions. (C) 2016 All rights reserved.