Generalized implicit viscosity approximation method for multivalued mappings in CAT (0) spaces

Abstract: We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT (0) space. Under certain appropriate conditions on parameters, we show that such a sequence converges strongly to a fixed point of the mapping which solves a variational inequality. We also present some convergence results for the implicit viscosity approximation method in complete ℝ-trees without the endpoint condition.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Generalized implicit viscosity approximation method for multivalued mappings in CAT (0) spaces ; volume:52 ; number:1 ; year:2019 ; pages:347-360 ; extent:14
Demonstratio mathematica ; 52, Heft 1 (2019), 347-360 (gesamt 14)

Creator
Abbas, Mujahid
Iqbal, Hira
de la Sen, Manuel

DOI
10.1515/dema-2019-0031
URN
urn:nbn:de:101:1-2411181504442.265254945944
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:30 AM CEST

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Associated

  • Abbas, Mujahid
  • Iqbal, Hira
  • de la Sen, Manuel

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