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 ...

In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadraturerules. More precisely Maclaurin’s quadrature rule, for which establish error estimate methodunder constraint that first derivatives belong to class preinvex functions. We also give someapplications special means as applications. believe studied inequality and resultsobtained in article will furthe...

The connection between generalized convexity and symmetry has been studied by many authors in recent years. Due to this strong connection, have arisen as a new topic the subject of inequalities. In paper, we introduce concept interval-valued preinvex functions on coordinates rectangle from plane prove Hermite–Hadamard type inclusions for coordinates. Further, establish product two coordinated f...