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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 1

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

Kadri DOĞAN
Faik GÜRSOY
Vatan KARAKAYA
Safeer Hussain KHAN
Sayfa
112–122
Yayın Tarihi
2020-06-30
DOI
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We introduce a new contractive condition and a new iterative

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Amaç & Hipotez:We introduce a new contractive condition and a new iterative
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Temel Bulgular & Veri:We introduce a new contractive condition and a new iterative
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Sonuç & Katkı:We introduce a new contractive condition and a new iterative
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Iterative methods · convergence · stability

Abstract

We introduce a new contractive condition and a new iterative

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Bu Makaleye Atıf Yap

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, Cilt: 69 - Sayı: 1, 112–122. https://ajindex.com/articles/746821

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Kaynakça (8)

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  2. Gunawan, H. and Mashadi, M., On n-normed spaces, Int. J. Math. Math. Sci., vol. 2, (2001), 631--639. Chugh, R. and Sushma, L., On Generalized n-inner product spaces, Novi Sad J. Math., vol. 41, no. 2, (2011), 73-80.
  3. 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. 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. 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. Khan, S.H., Approximating Fixed Points by a Two-Step Iterative Algorithm,World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical and Quantum Engineering, vol. 8, no. 6, (2014), 939-941.
  4. Bosede, A.O. and Rhoades, B.E., Stability of Picard and Mann iteration for a general class of functions, J. Adv. Math. Studies, vol. 3, no. 2, (2010), 23-25.
  5. Weng, X., Fixed point iteration for local strictly pseudocontractive mapping, Proc. Amer. Math. Soc., vol. 113, (1991), 727--731. Soltuz, S. M. and Grosan, T., Data dependence for Ishikawa iteration when dealing with contractive like operators, Fixed Point Theory Appl., vol. 2008, (2008), 7 pages. Urabe, M., Convergence of numerical iteration in solution of equations, Journal of Science of the Hiroshima University A, vol.19, (1956), 479--489. Ostrowski, A. M., The round-off stability of iterations, Z. Angew. Math. Mech., vol. 47, (1967), 77-81.
  6. Harder, A. M. and Hicks, T. L., Stability results for xed point iteration procedures, Math. Jap., vol. 33, no. 5, (1988), 693-706.
  7. Bosede, A. O.,Stability of Noor Iteration for a General Class of Functions in Banach Spaces, Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Mathematica, vol. 51, no. 2, (2012), 19--25. Khan, A. R., Kumar, V. and Hussain, N. Analytical and numerical treatment of Jungck-type iterative schemes, Appl. Math. Comput., vol. 231, (2014), 521-535.
  8. Imoru, C. O. and Olatinwo