A One-Step-Two-Mappings Iterative Scheme for Multi-Valued Maps in W-Hyperbolic Spaces


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GÜNDÜZ B. , Akbulut S.

FILOMAT, cilt.32, no.4, ss.1403-1411, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1804403g
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1403-1411

Özet

In this paper, we study a one-step iterative scheme for two multi-valued nonexpansive maps in W-hyperbolic spaces. We establish strong and Delta-convergence theorems for the proposed algorithm in a uniformly convex W-hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces as well as CAT(0) spaces. Our new results are also valid in geodesic spaces.