Some Fixed Point Results for a New Multivalued Hybrid Mapping in Geodesic Spaces

HACIOĞLU E., KARAKAYA V.

THAI JOURNAL OF MATHEMATICS, cilt.19, sa.2, ss.571-581, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.571-581
  • Anahtar Kelimeler: existence, hybrid mapping, convergence analysis, multivalued mappings, CAT(kappa) spaces, NONEXPANSIVE-MAPPINGS, CONVERGENCE THEOREMS, NONLINEAR MAPPINGS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The studies about hybrid mappings are mainly focused for single-valued mappings in Hilbert spaces. We define a new class of multivalued mappings in CAT (kappa) spaces which contains the multivalued nonexpansive mappings, alpha-nonexpansive mappings and some hybrid mappings such as (alpha, beta)-hybrid mappings and we study existence and convergence of this new class of mappings on CAT(kappa) spaces which is more general than CAT(0) spaces and also non-Euclidean generalization of Hilbert spaces.