Araştırma Makalesi

Fixed points of $\rho$-nonexpansive mappings using MP iterative process

Cilt: 6 Sayı: 2 30 Haziran 2022
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Fixed points of $\rho$-nonexpansive mappings using MP iterative process

Öz

This research article introduces a new iterative process called MP iteration and prove some convergence and approximation results for the fixed points of $\rho$-nonexpansive mappings in modular function spaces. To demonstrate that MP iterative process converges faster than some well-known existing iterative processes for $\rho$-nonexpansive mappings, we constructed some numerical examples. In the end, the concept of summably almost T-stability for MP iterative process is discussed.

Anahtar Kelimeler

Destekleyen Kurum

None

Proje Numarası

None

Kaynakça

  1. [1] M. Abbas, and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems. Mater. Vesn. 66, 223-234, (2014).
  2. [2] R.P. Agarwal, D. O'Regan, and D.R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings. J. Nonlinear Convex Anal. 8, 61-79, (2007).
  3. [3] V. Berinde, Iterative approximation of fixed points. Editura Efemeride, Baia Mare, (2002).
  4. [4] V. Berinde, Summable almost stability of ?xed point iteration procedures. Carpathian J. Math., 19(2), 81-88, (2003).
  5. [5] B.A.B. Dehaish, and W.M. Kozlowski, Fixed point iteration processes for asymptotically pointwise nonexpansive mapping in modular function spaces. Fixed Point Theory Appl. 2012, 1-23, (2012).
  6. [6] A.M. Harder, and T.L. Hicks, Stability results for fixed point iteration procedures. Math. Japon. 33, 693-706, (1988).
  7. [7] S. Ishikawa, Fixed point by new iterative mathod. Proc. Am. Math. Soc. 44, 147-150, (1974).
  8. [8] M.A. Khamsi, and W.M. Kozlowski, On asymptotic pointwise nonexpansive mappings in modular function spaces, J. Math. Anal. Appl., 380(2), 697-708, (2011).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

8 Ağustos 2021

Kabul Tarihi

13 Ocak 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Panwar, A., Morwal, R., & Kumar, S. (2022). Fixed points of $\rho$-nonexpansive mappings using MP iterative process. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 229-245. https://doi.org/10.31197/atnaa.980093
AMA
1.Panwar A, Morwal R, Kumar S. Fixed points of $\rho$-nonexpansive mappings using MP iterative process. ATNAA. 2022;6(2):229-245. doi:10.31197/atnaa.980093
Chicago
Panwar, Anju, Reena Morwal, ve Santosh Kumar. 2022. “Fixed points of $\rho$-nonexpansive mappings using MP iterative process”. Advances in the Theory of Nonlinear Analysis and its Application 6 (2): 229-45. https://doi.org/10.31197/atnaa.980093.
EndNote
Panwar A, Morwal R, Kumar S (01 Haziran 2022) Fixed points of $\rho$-nonexpansive mappings using MP iterative process. Advances in the Theory of Nonlinear Analysis and its Application 6 2 229–245.
IEEE
[1]A. Panwar, R. Morwal, ve S. Kumar, “Fixed points of $\rho$-nonexpansive mappings using MP iterative process”, ATNAA, c. 6, sy 2, ss. 229–245, Haz. 2022, doi: 10.31197/atnaa.980093.
ISNAD
Panwar, Anju - Morwal, Reena - Kumar, Santosh. “Fixed points of $\rho$-nonexpansive mappings using MP iterative process”. Advances in the Theory of Nonlinear Analysis and its Application 6/2 (01 Haziran 2022): 229-245. https://doi.org/10.31197/atnaa.980093.
JAMA
1.Panwar A, Morwal R, Kumar S. Fixed points of $\rho$-nonexpansive mappings using MP iterative process. ATNAA. 2022;6:229–245.
MLA
Panwar, Anju, vd. “Fixed points of $\rho$-nonexpansive mappings using MP iterative process”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 2, Haziran 2022, ss. 229-45, doi:10.31197/atnaa.980093.
Vancouver
1.Anju Panwar, Reena Morwal, Santosh Kumar. Fixed points of $\rho$-nonexpansive mappings using MP iterative process. ATNAA. 01 Haziran 2022;6(2):229-45. doi:10.31197/atnaa.980093

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