Journals / International Journal of Advances in Engineering and Pure Sciences / 2026 / Cilt: 30 Sayı: 3

Yeni Bir İterasyon Yöntemi İçin Hemen-Hemen Büzülme Dönüşümleri Altında Bazı Sabit Nokta Teoremleri

Yunus Atalan(AKSARAY ÜNİVERSİTESİ)0000-0002-5912-7087
Pages
276–285
Publication Date
2018-09-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır.
📊
Key Findings & Data:Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır.
💡
Conclusion & Impact:Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Yeni iterasyon yöntemi · Hemen hemen büzülme dönüşümleri · Yakınsaklık hızı

Özet

Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır. Bu iterasyon

🔖

Cite This Article

Atalan, Y. (2018). Yeni Bir İterasyon Yöntemi İçin Hemen-Hemen Büzülme Dönüşümleri Altında Bazı Sabit Nokta Teoremleri. International Journal of Advances in Engineering and Pure Sciences, Cilt: 30 Sayı: 3, 276–285. https://doi.org/10.7240/marufbd.412069

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. Picard, E. (1890). Mémoire Sur la Théorie des Équations Aux Dérivées Partielles et la Méthode des Approximations Successives. Journal de mathématiques pures et appliquées, 6, 145-210.
  2. Abbas, M. ve Nazir, T. (2014). A New Faster Iteration Process Applied to Constrained Minimization and Feasibility Problems. Matematıčkı Vesnıck, 66 (2), 223-234. [3] Agarwal, R., O Regan, D. ve Sahu, D. (2007). Iterative Construction of Fixed Points of Nearly Asymptotically Nonexpansive Mappings. Journal of Nonlinear and Convex Analysis, 8 (1), 61-79.
  3. Chugh, R., Kumar, V. ve Kumar, S. (2012). Strong Convergence of a New Three Step Iterative Scheme in Banach Spaces. American Journal of Computational Mathematics, 2, 345-357.
  4. Dogan, K. ve Karakaya, V. (2014). On the Convergence and Stability Results for a New General Iterative Process. The Scientific World Journal, 2014, 1-8.
  5. Gürsoy, Karakaya, V. ve Rhoades, B.E. (2013). Data dependence results of new multi-step and S-iterative schemes for contractive-like operators. Fixed Point Theory and Applications, 2013, 1-12.
  6. Gürsoy, F. ve Karakaya, V. (2014). A Picard-S Hybrid Type Iteration Method for Solving a Differential Equation with Retarded Argument. arXiv preprint arXiv:1403.2546.
  7. Ishikawa, S. (1974). Fixed Point By a New Iteration Method. Proceedings of the American Mathematical Society, 44, 147-150.
  8. Karahan, I. ve Ozdemir, M. (2013). A General Iterative Method for Approximation of Fixed Points and Their Applications. Advances in Fixed Point Theory, 3 (3), 510-526.
  9. Phuengrattana, W. ve Suantai, S. (2012). Comparison of the Rate of Convergence of Various Iterative Methods for the Class of Weak Contractions in Banach Spaces. Thai Journal of Mathematics, 11 (1), 217-226.
  10. Karakaya, V. Doğan, K. Gürsoy, F. ve Ertürk, M. (2013). Fixed Point of a New Three-Step Iteration Algorithm Under Contractive-Like Operators Over Normed Spaces. Abstract and Applied Analysis, 2013, 1-9.
  11. Mann, W.R. (1953). Mean Value Methods in Iteration. Proceedings of the American Mathematical Society, 4 (3), 506-510.
  12. Noor, M.A. (2000). New Approximation Schemes for General Variational Inequalities. Journal of Mathematical Analysis and Applications, 251 (1), 217-229.
  13. Osilike, M. (1995). Stability Results for Fixed Point Iteration Procedures. Journal of the Nigerian Mathematical Society, 14 (15), 17-29.
  14. Pheungrattana, W. ve Suantai, S. (2011). On the Rate of Convergence of Mann, Ishikawa, Noor and SP Iterations for Continuous on an Arbitrary Interval. Journal of Computational and Applied Mathematics, 235, 3006-3014.
  15. Khan, S.H. (2013). A Picard-Mann Hybrid Iterative Process. Fixed point Theory and Applications, 69, 1-10.
  16. Khan, S. H. (2011). Common fixed points of quasi-contractive type operators by a generalized iterative process. IAENG International Journal of Applied Mathematics, 41(3), 260-264.
  17. Weng, X. (1991). Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping. Proceedings of the American Mathematical Society, 113 (3), 727-731.
  18. Şoltuz, S.M. ve Grosan, T. (2008). Data dependence for Ishikawa iteration when dealing with contractive like operators. Fixed Point Theory and Applications, 2008, 1-7.
  19. Berinde, V. (2003). On The Approximation of Fixed Points of Weak Contractive Mappings. Carpathian J. Math., 19 (1), 7-22.