Some Characterizations of General s-Convex Functions

It is established that the general s-Convex function are a new class of generalized convex functions. In a similar ven a new class of general s-convex sets is introduced which are generalizations of s-convex set. It is shown that radially lower semicontinuous function * + is general s-convex if and only if , for all there exist 𝜎 ( ) ( ) that satisfies (𝜎 ( 𝜎) ) 𝜎 [( ( )) ( 𝜎)] ( 𝜎) , ( ) ( 𝜎)- . 𝜎/ holds 𝜎 , - and for some fixed ( -.