$\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces

[1] Alotaibi, A.: Generalized statistical convergence in probabilistic normed spaces, Open Math. J. 1 (2008), 82–88. http://dx.doi.org/10.2174/187411770080101008210.2174/1874117700801010082Search in Google Scholar

[2] Alsina, C.— Schweizer, B.— Sklar, A.: On the definition of a probabilistic normed space, Aequationes Math. 46 (1993), 91–98. http://dx.doi.org/10.1007/BF0183400010.1007/BF01834000Search in Google Scholar

[3] Alsina, C.— Schweizer, B.— Sklar, A.: Continuity properties of probabilistic norms, J. Math. Anal. Appl. 208 (1997), 446–452. http://dx.doi.org/10.1006/jmaa.1997.533310.1006/jmaa.1997.5333Search in Google Scholar

[4] Chang, S. S— Lee, B. S.— Cho, Y. J.— Chen, Y. Q.— Kang, S. M.— Jung, J. S.: Generalized contraction mapping principles and differential equations in probabilistic metric spaces, Proc. Amer. Math. Soc. 124 (1996), 2367–2376. http://dx.doi.org/10.1090/S0002-9939-96-03289-310.1090/S0002-9939-96-03289-3Search in Google Scholar

[5] Fast, H.: Surla convergence statistique, Colloq. Math. 2 (1951), 241–244. 10.4064/cm-2-3-4-241-244Search in Google Scholar

[6] Fridy, J. A.: On statistical convergence, Analysis (Munich) 5 (1985), 301–313. Search in Google Scholar

[7] Karakus, S.: Statistical convergence on probabilistic normed spaces, Math. Commun. 12 (2007), 11–23. Search in Google Scholar

[8] Menger, K.: Statistical metrics, Proc. Natl. Acad. Sci. USA 28 (1942), 535–537. http://dx.doi.org/10.1073/pnas.28.12.53510.1073/pnas.28.12.535Search in Google Scholar PubMed PubMed Central

[9] Mohiuddine, S. A.— Lohani, Q. M. D.: On generalized statistical convergence in intuitionistic fuzzy normed space, Chaos Solitons Fractals 42 (2009), 1731–1737. http://dx.doi.org/10.1016/j.chaos.2009.03.08610.1016/j.chaos.2009.03.086Search in Google Scholar

[10] Mursaleen, M.— Mohiuddine, S. A.: Statistical convergence of double sequences in intuitionistic fuzzy normed spaces, Chaos Solitons Fractals 41 (2009), 2414–2421. http://dx.doi.org/10.1016/j.chaos.2008.09.01810.1016/j.chaos.2008.09.018Search in Google Scholar

[11] Mursaleen, M.— Edely, O. H. H.: Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003), 223–231. http://dx.doi.org/10.1016/j.jmaa.2003.08.00410.1016/j.jmaa.2003.08.004Search in Google Scholar

[12] Mursaleen, M.: λ-statistical convergence, Math. Slovaca 50 (2000), 111–115. Search in Google Scholar

[13] Pringsheim, A.: Zur theorie der zweifach unendlichen Zahlenfolgen, Math. Z. 53 (1900), 289–321. Search in Google Scholar

[14] Šalát, T.: On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980), 139–150. Search in Google Scholar

[15] Savas, E.: On \(\bar \lambda \) -statistically convergent double sequences of fuzzy numbers, J. Inequal. Appl. (2008), Article ID 147827, 6 pp. Search in Google Scholar

[16] Schweizer, B.— Sklar, A.: Statistical metric spaces, Pacific J. Math. 10 (1960), 313–334. 10.2140/pjm.1960.10.313Search in Google Scholar

[17] Sherstnev, A. N.: On the notion of a random normed space, Dokl. Akad. Nauk. SSSR 149 (1963), 280–283 (Russian) [Soviet Math. Dokl. 4 (1963), 388–390 (English)]. Search in Google Scholar

[18] Steinhaus, H.: Surla convergence ordinaire et la convergence asymptotique, Colloq. Math. 2 (1951), 73–74. 10.4064/cm-2-2-98-108Search in Google Scholar