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Second Order Ideal-Ward Continuity

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  • Bipan Hazarika

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.

Suggested Citation

  • Bipan Hazarika, 2014. "Second Order Ideal-Ward Continuity," International Journal of Analysis, Hindawi, vol. 2014, pages 1-4, March.
    • Handle: RePEc:hin:ijanal:480918
    DOI: 10.1155/2014/480918
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    References listed on IDEAS

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    1. Agata Caserta & Giuseppe Di Maio & Ljubiša D. R. Kočinac, 2011. "Statistical Convergence in Function Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-11, December.
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