Compactness Criteria for Discrete Convergence
We begin this chapter by defining the concept of a discretely compact sequence of elements, and use this notion to introduce the concepts of a-regular, regularly convergent, and discretely compact operator sequences. These properties provide criteria for inverse stability (respectively, bistability) which, as we know from the theory developed in the preceding chapter, are essential for deducing the inverse discrete convergence (respectively, biconvergence) of a sequence of mappings.
KeywordsCompactness Criterion Discrete Approximation Uniform Boundedness Compactness Property Convergence Theory
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