IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i1p79-88.html
   My bibliography  Save this article

Generalization of weakly clopen and strongly θ-b-continuous functions

Author

Listed:
  • Ekici, Erdal

Abstract

In this paper, we introduce a new class of functions called weakly BR-continuous function including the classes of strongly θ-b-continuous functions due to Park [Park JH. Strongly θ-b-continuous functions. Acta Math Hungar 2006;110(4):347–59] and weakly clopen functions due to Son et al. [Son MJ, Park JH, Lim KM. Weakly clopen functions. Chaos, Solitons & Fractals 2007;33:1746–55]. Characterizations and properties of the class of weakly BR-continuous functions are investigated. Moreover, the relationships among weakly BR-continuous functions, strongly θ-b-continuous functions, weakly clopen functions and the related functions are investigated.

Suggested Citation

  • Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:79-88
    DOI: 10.1016/j.chaos.2008.01.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908000192
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.01.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Park, Jin Han & Bae, Sang Wook & Park, Yong Beom, 2006. "Almost strongly θ-precontinuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 32-41.
    2. Stakhov, Alexey & Rozin, Boris, 2006. "The continuous functions for the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1014-1025.
    3. Caldas, Miguel & Jafari, Saeid & Noiri, Takashi & Simões, Marilda, 2007. "A new generalization of contra-continuity via Levine’s g-closed sets," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1597-1603.
    4. Ekici, Erdal, 2007. "On almost πgp-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1935-1944.
    5. Takashi Noiri, 1987. "Weakly α -continuous functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-8, January.
    6. Caldas, M. & Jafari, S. & Noiri, T. & Saraf, R.K., 2005. "Weak and strong forms of α-irresolute maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 223-228.
    7. Stakhov, Alexey & Rozin, Boris, 2005. "The Golden Shofar," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 677-684.
    8. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    9. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    10. El Naschie, M.S., 2005. "A few hints and some theorems about Witten’s M theory and T-duality," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 545-548.
    11. Son, Mi Jung & Park, Jin Han & Lim, Ki Moon, 2007. "Weakly clopen functions," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1746-1755.
    12. El Naschie, M.S., 2007. "On the topological ground state of E-infinity spacetime and the super string connection," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 468-470.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hatir, E. & Noiri, T., 2009. "On δ–β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 205-211.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.
    2. Hatir, E. & Noiri, T., 2009. "On δ–β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 205-211.
    3. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    4. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.
    5. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
    6. Kılıç, Emrah, 2009. "The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2047-2063.
    7. Beceren, Yusuf & Noiri, Takashi, 2008. "Some functions defined by α-open and preopen sets," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1097-1103.
    8. Beceren, Yusuf & Noiri, Takashi, 2008. "Some functions defined by semi-open and β-open sets," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1225-1231.
    9. Kocaman, A.H. & Yuksel, S. & Acikgoz, A., 2009. "On some strongly functions defined by α-open," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1346-1355.
    10. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    11. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    12. Stakhov, Alexey, 2007. "The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 315-334.
    13. Stakhov, Alexey & Rozin, Boris, 2006. "The continuous functions for the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1014-1025.
    14. Falcón, Sergio & Plaza, Ángel, 2009. "On k-Fibonacci sequences and polynomials and their derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1005-1019.
    15. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    16. He, Ji-Huan & Wan, Yu-Qin & Xu, Lan, 2007. "Nano-effects, quantum-like properties in electrospun nanofibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 26-37.
    17. Ekici, Erdal, 2008. "On (LC,s)-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 430-438.
    18. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
    19. Elmali, Ceren Sultan & Uğur, Tamer, 2009. "Fan-Gottesman compactification of some specific spaces is Wallman-type compactification," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 17-19.
    20. Nasef, Arafa A. & Hatir, E., 2009. "On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1185-1189.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:79-88. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.