NEW RESULTS ON THE ITERATION PROCESS TO FIXED POINTS WITH CONDITION (Bγ,µ ) IN HADAMARD SPACES
Advances in Mathematical Sciences and Applications, cilt.34, sa.1, ss.61-74, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 1
- Basım Tarihi: 2025
- Dergi Adı: Advances in Mathematical Sciences and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.61-74
- Anahtar Kelimeler: Condition (Bγ,µ ), Hadamard space, M iteration process, strong converge, ∆-convergence
- Kırklareli Üniversitesi Adresli: Evet
Özet
We investigate the class of mappings that satisfy condition (B) within general nonlinear domains of CAT(0) spaces. Our study establishes weak convergence and derives several strong convergence results using a three-step M iteration scheme. To analyze the convergence speed of the M iteration in this new setting, we present a numerical example and conduct a comparative study through table and graph that illustrate and support our findings. Our main results extend and improve upon existing convergence and existence results in the literature, transitioning from linear to generalized nonlinear spaces.