Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 6

Weakly $Phi$-continuous functions in grill topological spaces

Pages
785–793
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we investigate its rela- tionship with other related functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce and investigate the notion of a weakly $Phi$ - continuous function in grill topological spaces and using this function we obtain a decomposition of continuity.
📊
Key Findings & Data:In this paper, we introduce and investigate the notion of a weakly $Phi$ - continuous function in grill topological spaces and using this function we obtain a decomposition of continuity.
💡
Conclusion & Impact:Also, we investigate its rela- tionship with other related functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce and investigate the notion of a weakly $Phi$ - continuous function in grill topological spaces and using this function we obtain a decomposition of continuity. Also, we investigate its rela- tionship with other related functions.

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Cite This Article

OMARI, A. A., NOIR, T. (2022). Weakly $Phi$-continuous functions in grill topological spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 6, 785–793. https://ajindex.com/articles/530482

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References (16)

  1. Açikgöz, A. Noiri. T. and Yüksel Ş. A decomposition of continuity in ideal topological spaces, Acta Math. Hungar 105(4), 285 289, 2004
  2. Chattopadhyay, K.C., Njâstad, K.C. and Thron W.J. Merotopic spaces and extensions of closure spaces, Can. J. Math. 35(4), 613-629, 1983
  3. Chattopadhyay, K.C. and Thron, VV. J. Extensions of closure spaces, Can. J. Math. 29(6), 1277-1286, 1977
  4. Choqet, C. Sur las notions dc filter et grill, Coinptes Rend us Acad. Sci. Paris 224. 171-173, 1947
  5. Foniin, S. Extensions of tojHjlogic.nl spaces, Ann. of Math. 44, 471 480, 194,
  6. Hatir, E. and Jafari, S, On some new calsses of sets and a new decomposition of continuity ma grills, J. Ads. Math. Studies. 3(1), 33-40, 2010
  7. Jankoviö, D. and Hamlet., T. R. New topologies from old via ideals, Ainer. Math. Monthly 97. 295-310, 1990
  8. Kuratowski, K. Topology I (Academic Press, New York, 1966)
  9. Levinc, N.4 decomposition of continuity in topological sjxxc.es, Amer Math. Monthly 68. 36-41, 1961
  10. Levine, N. Semi-open setj and semi-continuity in topological spaces, Amer. Math. Monthly 70, 44 46, 1963
  11. Mashhour, A.S., Abd El-Monsef. M. E. and El-Deeb, S.N. On jrrexvnlinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53, 47 53, 1982
  12. Rennkadevi, V. Relation between ideals and grills,.1. Adv. Res. Pure Math. 2(4), 9-14, 2010
  13. Rose, D. A. Weak continuity and almost continuity, Internat. J. Math. Math. Sci. 7, 311 318, 1984
  14. Roy, B. and Mukherjee, M.N. On a typical topology induced by a grill, Soochow J. Math. 33 (4), 771-786, 2007
  15. Thron, W.J. Proximity structure and grills, Math. Ann. 206, 35-62, 1973
  16. Vaidyanathaswamy, R. Set Topology (Chelsea Publishing Company, New York, 1960).