The Journal of the Indian Mathematical Society

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Equicontinuity of the Limit Function of a Sequence of Equicontinuous Functions


Affiliations
1 Department of Mathematics & Computer Science, Mizoram University, Tanhril, Aizawl, 796 004, India
     

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

Keywords

Transitivity, Metric G-Spaces, Topological Transitivity, Orbital Convergence, Uniform Convergence.
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  • Equicontinuity of the Limit Function of a Sequence of Equicontinuous Functions

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Authors

Khundrakpam Binod Mangang
Department of Mathematics & Computer Science, Mizoram University, Tanhril, Aizawl, 796 004, India

Abstract


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

Keywords


Transitivity, Metric G-Spaces, Topological Transitivity, Orbital Convergence, Uniform Convergence.