𝑁𝜃-Ward Continuity

A function 𝑓 is continuous if and only if 𝑓 preserves convergent sequences; that is, (𝑓(𝛼𝑛)) is a convergent sequence whenever (𝛼𝑛) is convergent. The concept of 𝑁𝜃-ward continuity is defined in the sense that a function 𝑓 is 𝑁𝜃-ward continuous if it preserves 𝑁𝜃-quasi-Cauchy sequences; that is, (𝑓(...

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Bibliographic Details
Main Author: Huseyin Cakalli
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/680456

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