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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
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Original Articles

Statistical continuity in probabilistic normed spaces

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Pages 377-384 | Received 26 Oct 2007, Accepted 29 Jan 2008, Published online: 19 Mar 2008

References

  • Alsina , C , Schweizer , B and Sklar , A . 1993 . On the definition of a probabilistic normed space . Aequationes Math. , 46 : 91 – 98 .
  • 1997 . Continuity properties of probabilistic norms . J. Math. Anal. Appl. , 208 : 446 – 452 .
  • Bahrami , F and Nikfar , M . 2007 . The topological structure of a certain Menger space . J. Math. Anal. Appl. , 334 : 172 – 182 .
  • [Cbreve]erve[nbreve]anský , J . 1998 . Statistical convergence and statistical continuity . Vedecké práce MtP STU (Trnava) , 6 : 207 – 211 .
  • Connor , J and Grosse Erdmann , KG . 2003 . Sequential definitions of continuity for real functions . Rocky Mountain J. Math. , 33 : 93 – 121 .
  • Fast , H . 1951 . Sur la convergence statistique . Colloq. Math. , 2 : 241 – 244 .
  • Fridy , JA . 1985 . On statistical convergence . Analysis , 5 : 301 – 313 .
  • Lafuerza Guillén , B , Rodríguez Lallena , JA and Sempi , C . 1995 . Completion of probabilistic normed spaces . Internat. J. Math. Math. Sci. , 18 : 649 – 652 .
  • Lafuerza Guillén , B , Rodríguez Lallena , JA and Sempi , C . 1997 . Some classes of probabilistic normed spaces . Rend. Mat. , 17 : 237 – 252 .
  • Lafuerza Guillén , B , Rodríguez Lallena , JA and Sempi , C . 1998 . Probabilistic norms for linear operators . J. Math. Anal. Appl. , 220 : 462 – 476 .
  • Lafuerza Guillén , B , Rodríguez Lallena , JA and Sempi , C . 1999 . A study of boundedness in probabilistic normed spaces . J. Math. Anal. Appl. , 232 : 183 – 196 .
  • Lafuerza Guillén , B . 2004 . Finite products of probabilistic normed spaces . Rad. Mat. , 13 : 111 – 117 .
  • Schweizer , B and Sklar , A . 1983 . Probabilistic Metric Spaces , New York : Elsevier Science Publishing Co. .
  • Schweizer , B and Sklar , A . 2005 . Probabilistic Metric Spaces , Mineola NY : Dover Publications .
  • Sempi , C . 2006 . A short and partial history of probabilistic normed spaces . Mediterr. J. Math. , 3 : 283 – 300 .
  • Şençimen , C and Pehlivan , S . Strong statistical convergence in probabilistic metric spaces . Stoch. Anal. Appl. , (To appear)
  • [Sbreve]erstnev , AN . 1963 . On the notion of a random normed space . Dokl. Akad. Nauk. SSSR , 149 : 280 – 283 .
  • Steinhaus , H . 1951 . Sur la convergence ordinaire et la convergence asymptotique . Colloq. Math. , 2 : 73 – 74 .

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