2014•Journal of the Indian Mathematical SocietyRequires access

Equicontinuity of the Limit Function of a Sequence of Equicontinuous Functions

Khundrakpam Binod Mangang

Abstract

Let (X, d) be a compact metric space and f n : X → X a sequence of continuous functions such that (f n ) converge orbitally or G-orbitally to a function f. The equicontinuity and minimality of the limit function f have been studied when (f n ) is a sequence of equicontiuous and minimal system respectively.

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Key concepts: Equicontinuity, Mathematics, Sequence (biology), Limit (mathematics), Uniform limit theorem, Function (biology), Limit of a sequence, Complete metric space