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

HACIOĞLU E., KARAKAYA V.

THAI JOURNAL OF MATHEMATICS, vol.19, no.2, pp.571-581, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2021
  • Journal Name: THAI JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.571-581
  • Keywords: existence, hybrid mapping, convergence analysis, multivalued mappings, CAT(kappa) spaces, NONEXPANSIVE-MAPPINGS, CONVERGENCE THEOREMS, NONLINEAR MAPPINGS
  • Yıldız Technical University Affiliated: Yes

Abstract

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.