E-convex function was introduced by Youness 1 and revised by Yang 2 . Chen 3 introduced Semi-E-convex function and studied some of its properties. Syau and Lee 4 defined E-quasi-convex function, strictly E-quasi-convex function and studied some basic properties. Fulga and Preda 5 introduced the class of E-preinvex and E-prequasi-invex functions. All the above E-convex and generalized E-convex f...

The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set operators introduced uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as kernel in interval domain. Additionally, form Atangana–Baleanu operator defined using same kernel, which unifies multiple existing operators. By varying param...

Abstract Local fractional integral inequalities of Hermite-Hadamard type involving local operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type via ( h <m:mo...

In this paper, we define and introduce some new concepts of the higher order strongly generalized preinvex functions monotone operators involving arbitrary bifunction function. Some relationships among various general have been established. It is shown that optimality conditions are characterized by a class variational inequalities, which called variational-like inequality. Auxiliary principle ...