COMMON FIXED POINTS OF TWO FINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN KOHLENBACH HYPERBOLIC SPACES

GÜNDÜZ B., Khan S. H., AKBULUT S.

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Hyperbolic space, Nonexpansive map, Common fixed point, iterative process, Semi-compactness
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we use a two-step iterative process for two finite families of nonexpansive mappings in a hyperbolic space defined by Kohlenbach. Strong and Delta-convergence theorems are established for this two-step iterative process being used for the first time in hyperbolic spaces.