Araştırma Makalesi

A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings

Cilt: 7 Sayı: 2 31 Ağustos 2022
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A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings

Öz

In this paper, we study to approximate fixed points of Suzuki generalized multivalued nonexpansive mappings by using a three-step iterative scheme (1.1) introduced in [17]. We establish some weak and strong convergence results for mappings satisfying condition (C) with the newly proposed iterative scheme in the framework of uniformly convex real Banach spaces.

Anahtar Kelimeler

Kaynakça

  1. [1] Nadler, S.B., "Multivalued contraction mappings", Pacific J. Math. 30(2) (1969) : 475-488.
  2. [2] Markin, J.T., "A fixed point theorem for set valued mappings", Bull. Amer. Math. Soc. 74(4) (1968) : 545-547.
  3. [3] Abkar, A., Eslamian, M., "Fixed point theorems for Suzuki generalized nonexpansive multivalued mappings in Banach spaces", Fixed Point Theory and Applications 2010 (2010) : 1-10.
  4. [4] Yildirim, I., "On convergence of an implicit algorithm for multivalued mappings in Banach spaces", Miskolc Mathematical Notes 15(2) (2014) : 771-780.
  5. [5] Thakur, B.S., Thakur, D., Postolache, M., "A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings", Applied Mathematics and Computation 275 (2016) : 147-155.
  6. [6] Opial,Z., "Weak convergence of the sequence of successive approximations for nonexpansive mappings", Bull Amer. Math. Soc. 73 (1967) : 591-597.
  7. [7] Eslamian, M., Abkar, A., "One-step iterative process for a finite family of multivalued mappings", Mathematical and Computer Modelling, 54 (2011) : 105-111.
  8. [8] Garcia-Falset, J., Lorens-Fusters, E., Suzuki, T., "Fixed point theory for a class of generalized nonexpansive mappings", J.Math. Anal. Appl. 375 (2011) : 185-195.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ağustos 2022

Gönderilme Tarihi

1 Ekim 2021

Kabul Tarihi

13 Temmuz 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 2

Kaynak Göster

APA
Kaplan, M. (2022). A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings. Journal of Engineering Technology and Applied Sciences, 7(2), 69-77. https://doi.org/10.30931/jetas.1003445
AMA
1.Kaplan M. A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings. Journal of Engineering Technology and Applied Sciences. 2022;7(2):69-77. doi:10.30931/jetas.1003445
Chicago
Kaplan, Makbule. 2022. “A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings”. Journal of Engineering Technology and Applied Sciences 7 (2): 69-77. https://doi.org/10.30931/jetas.1003445.
EndNote
Kaplan M (01 Ağustos 2022) A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings. Journal of Engineering Technology and Applied Sciences 7 2 69–77.
IEEE
[1]M. Kaplan, “A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings”, Journal of Engineering Technology and Applied Sciences, c. 7, sy 2, ss. 69–77, Ağu. 2022, doi: 10.30931/jetas.1003445.
ISNAD
Kaplan, Makbule. “A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings”. Journal of Engineering Technology and Applied Sciences 7/2 (01 Ağustos 2022): 69-77. https://doi.org/10.30931/jetas.1003445.
JAMA
1.Kaplan M. A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings. Journal of Engineering Technology and Applied Sciences. 2022;7:69–77.
MLA
Kaplan, Makbule. “A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings”. Journal of Engineering Technology and Applied Sciences, c. 7, sy 2, Ağustos 2022, ss. 69-77, doi:10.30931/jetas.1003445.
Vancouver
1.Makbule Kaplan. A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings. Journal of Engineering Technology and Applied Sciences. 01 Ağustos 2022;7(2):69-77. doi:10.30931/jetas.1003445