ON LOWER AND UPPER SEMI-CLIQUISH FUNCTIONS
Keywords:
Cliquish function, Semi-continuous function, Lower semi-cliquish function, Upper semi-cliquish function, Banach algebra Lower half semi-continuity, Upper half semi-continuityAbstract
This research article introduces lower and upper semi-cliquish functions ontopological spaces. And investigates the relations between semi-continuous functions and semicliquish functions. Also, it is established that the sets of all real valued bounded lower and upper
semi-cliquish functions on a topological space form commutative Banach algebras with identityunder the supremum norm.
References
Borsik, J., (1993) Points of continuity, Quasicontinuity and cliquishness, Prevento in redazoint, pp: 5-20.
Fudali, L.A., (1983) On cliquish functions on product spaces. Math. Slovaca 33, 5358.


