Almost strongly θ -e-continuous functions

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