Second Order Ideal-Ward Continuity

Bipan Hazarika

International Journal of Analysis, 2014, vol. 2014, 1-4

Abstract:

The main aim of the paper is to introduce a concept of second order ideal-ward continuity in the sense that a function is second order ideal-ward continuous if whenever and a concept of second order ideal-ward compactness in the sense that a subset of is second order ideal-ward compact if any sequence of points in has a subsequence of the sequence x such that where . We investigate the impact of changing the definition of convergence of sequences on the structure of ideal-ward continuity in the sense of second order ideal-ward continuity and compactness of sets in the sense of second order ideal-ward compactness and prove related theorems.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:480918

DOI: 10.1155/2014/480918

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