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2015•International journal of applied researchOpen access

On partially ordered semi convex set under the transformation

Birendra Prasad

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Abstract

The object of this work is to obtain a result on the transformation of Semi Convex Set of Semi Convex Set. In the present present paper, we have paid the total attention to introduce the notion of semi convex set by imposing a specific condition on the concept of convex set. Efforts have also been made to establish some of the results for semi convex set analogous to that of the results for convex set.

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What this paper is about

The object of this work is to obtain a result on the transformation of Semi Convex Set of Semi Convex Set. In the present present paper, we have paid the total attention to introduce the notion of semi convex set by imposing a specific condition on the concept of convex set. Efforts have also been made to establish some of the results for semi convex set analogous to that of the results for convex set.

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Available abstract

The object of this work is to obtain a result on the transformation of Semi Convex Set of Semi Convex Set. In the present present paper, we have paid the total attention to introduce the notion of semi convex set by imposing a specific condition on the concept of convex set. Efforts have also been made to establish some of the results for semi convex set analogous to that of the results for convex set.

Key concepts: Convex set, Subderivative, Absolutely convex set, Convex analysis, Convex combination, Proper convex function, Set (abstract data type), Mathematics

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