INTERNATIONAL CONFERENCE on RECENT ADVANCES in
PURE AND APPLIED MATHEMATICS (ICRAPAM 2017)
May 11-15, 2017, Palm Wings Ephesus Resort Hotel,
Kusadasi - Aydin, TURKEY www.icrapam.org
[Metni yazın]
SLIGHTLY LAMBDA – CONTINUOUS FUNCTIONS
Raja Mohamma Latif
Department of Mathematics and Natural Sciences
Prince Mohammad Bin Fahad University
P.O. Box 1664 Al Khobar 31952
Kingdom of Saudi Arabia
[email protected] & [email protected]
Abstract: A new weak form of both slightly continuous and λ – continuous, called
slightly λ –continuous, is introduced and studied. Furthermore, basic properties and
preservation theorems of slightly λ – continuous functions are investigated.
Relationships between slightly λ –continuous functions and set λ – connected functions
are investigated.
Keywords: λ – open sets, slightly continuous, slightly λ – continuous, set λ – connected
functions.
References:
[1] Arenas, F. G., Dontchev, J., and Ganster, M. “On λ-sets and dual of generalized
continuity”. Questions Answers Gen.Topology 15 (1997), 3–13.
[2] Caldas, M., and Jafari, S. “On some low separation axioms via λ-open and λ-closure
operator”. Rend. Circ. Mat. Di Palermo 54, 2 (2005), 195–208.
[3] R.M. Latif, “On characterizations of mappings”, Soochow Journal of Mathematics,
19(4) (1993), 475−495.
[4] Maki, H. “Generalized λ-sets and the associated closure operator”. The Special Issue
in Commemoration of Prof”. Kazusada IKEDA0s Retirement, 1. Oct. 1986, 139–146.