Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces

Knefati M., KARAKAYA V.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.43, sa.16, ss.1884-1900, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 16
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/01630563.2022.2141256
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1884-1900
  • Anahtar Kelimeler: Condition (D), Delta-convergence, JK-iteration process, p-uniformly convex metric space, strong convergence, ASYMPTOTIC-BEHAVIOR, CONVERGENCE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, firstly, we extend the nonlinear Lebesgue spaces from the setting of Hadamard spaces to the setting of p-uniformly convex metric spaces. Afterward, we establish some Delta-convergence and strong convergence theorems for a recently introduced class of generalized nonexpansive mappings in the setting of p-uniformly convex metric spaces. Furthermore, we employ the newly introduced JK-iteration process to approximate the fixed points of this class. Finally, we construct new examples of this class of mappings in the context of p-uniformly convex metric spaces.