Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators

What is it about?

Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper, and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed. Here also an existence theorem and fixed-point theorem for general mappings are obtained.

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Why is it important?

Here an existence theorem and fixed-point theorem for general mappings are obtained.