Research Article

Some new results on convergence, stability and data dependence in n-normed spaces

Volume: 69 Number: 1 June 30, 2020
EN

Some new results on convergence, stability and data dependence in n-normed spaces

Abstract

We introduce a new contractive condition and a new iterative
method in n0normed space setting. We employ both of these to
study convergence, stability, and data dependence. The results presented
here extend and improve some recent results announced in the existing
literature.

Keywords

References

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  2. Gähler, S., Linear 2-normietre räume, Math. Nachr., vol. 28, (1965), 1--43.
  3. Dutta, H., Some iterated convergence and fixed point theorems in real linear n-normed spaces, Miskolc Mathematical Notes, vol. 15, no. 2, (2014), 423-437.
  4. Gunawan, H. and Mashadi, M., On n-normed spaces, Int. J. Math. Math. Sci., vol. 2, (2001), 631--639.
  5. Chugh, R. and Sushma, L., On Generalized n-inner product spaces, Novi Sad J. Math., vol. 41, no. 2, (2011), 73-80.
  6. Owojori, O. O. and Imoru, C. O., New iteration methods for pseudocontractive and accretive operators in arbitrary banach spaces, Kragujevac J. Math., vol. 25, (2003), 97--110.
  7. Thianwan, S., Common fixed points of new iterations for two asymptotically nonexpansive nonself mappings in a banach space, J. Comput. Appl. Math., vol. 224, (2009), 688--695.
  8. Raphael, P. and Pulickakunnel, S., Fixed point theorems in normed linear spaces using a generalized Z-type condition, Kragujevac J. Math., vol. 36, no. 2, (2012), 207--214.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

May 10, 2019

Acceptance Date

August 21, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Doğan, K., Gürsoy, F., Karakaya, V., & Khan, S. H. (2020). Some new results on convergence, stability and data dependence in n-normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 112-122. https://doi.org/10.31801/cfsuasmas.560471
AMA
1.Doğan K, Gürsoy F, Karakaya V, Khan SH. Some new results on convergence, stability and data dependence in n-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):112-122. doi:10.31801/cfsuasmas.560471
Chicago
Doğan, Kadri, Faik Gürsoy, Vatan Karakaya, and Safeer Hussain Khan. 2020. “Some New Results on Convergence, Stability and Data Dependence in N-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 112-22. https://doi.org/10.31801/cfsuasmas.560471.
EndNote
Doğan K, Gürsoy F, Karakaya V, Khan SH (June 1, 2020) Some new results on convergence, stability and data dependence in n-normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 112–122.
IEEE
[1]K. Doğan, F. Gürsoy, V. Karakaya, and S. H. Khan, “Some new results on convergence, stability and data dependence in n-normed spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 112–122, June 2020, doi: 10.31801/cfsuasmas.560471.
ISNAD
Doğan, Kadri - Gürsoy, Faik - Karakaya, Vatan - Khan, Safeer Hussain. “Some New Results on Convergence, Stability and Data Dependence in N-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 112-122. https://doi.org/10.31801/cfsuasmas.560471.
JAMA
1.Doğan K, Gürsoy F, Karakaya V, Khan SH. Some new results on convergence, stability and data dependence in n-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:112–122.
MLA
Doğan, Kadri, et al. “Some New Results on Convergence, Stability and Data Dependence in N-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 112-2, doi:10.31801/cfsuasmas.560471.
Vancouver
1.Kadri Doğan, Faik Gürsoy, Vatan Karakaya, Safeer Hussain Khan. Some new results on convergence, stability and data dependence in n-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):112-2. doi:10.31801/cfsuasmas.560471

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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