The current study is fully devoted to studying differential subordination and superordination theorems of analytic functions with some sandwich results involving linear operators Iλs,a,μ. This operator was obtained by the Hadamard product family integral Hurwitlz-Lerch Zeta function. demonstrate possibility capability extracting Sandwich theorem, conclusion includes superordination.

This Thesis deals with the following type of problems, which we denote partition problems, Given a set X in IR, is there a way to partition X such that the convex hulls of all parts satisfy certain combinatorial properties? We focus on the following two kinds of partition problems. • Tverberg type partitions. In this setting, one of the properties we ask the sets to satisfy is that their convex...

Some new results which generalize the Hahn-Banach theorem from scalar or vector-valued case to set-valued case are obtained. The existence of the Borwein-strong subgradient and Yang-weak subgradient for set-valued maps are also proven. we present a new Lagrange multiplier theorem and a new Sandwich theorem for set-valued maps.

The ham-sandwich theorem states that, given d ≥ 2 measures in R, it is possible to divide all of them in half with a single (d − 1)-dimensional hyperplane. We study an orthogonal version of the ham-sandwich theorem and define an orthogonal cut using at most d hyperplanes orthogonal to coordinate axes. For example, a hyperplane orthogonal to a coordinate axis and the boundary of an orthant are o...

In the present investigation, we obtain subordination and superordination – preserving properties of certain integral operator with the sandwich type theorem.