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 ...

This doubly inequality is known in the literature as Hermite-Hadamard integral inequality for convex mapping.We note that Hadamard’s inequality may be regarded as a refinement of the concept of convexity and it follows easily from Jensen’s inequality. For several recent results concerning the inequality (1) we refer the interested reader to [3,5,6,8,9,11,18,21,22] and the references cited there...

The term convexity associated with the theory of inequality in sense fractional analysis has a broad range different and remarkable applications domain applied sciences. prime objective this article is to investigate some new variants Hermite–Hadamard Pachpatte-type integral inequalities involving idea preinvex function frame operator, namely Caputo–Fabrizio operator. By employing our approach,...

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, obtained a generalization Ostrowski Besides, derived some new inequalities related to these