Generalized common fixed point theorem for generalized hybrid mappings in Hilbert spaces

Abstract: In this article, we prove a common fixed point theorem for commutative nonlinear mappings that jointly satisfy a certain condition. From the main theorem, a common fixed point theorem for commutative generalized hybrid mappings is derived as a special case. Our novel approach significantly expands the applicable range of mappings for well-known fixed point theorems to be effective. Examples are presented to explicitly illustrate this contribution.

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

Bibliographic citation
Generalized common fixed point theorem for generalized hybrid mappings in Hilbert spaces ; volume:55 ; number:1 ; year:2022 ; pages:752-759 ; extent:8
Demonstratio mathematica ; 55, Heft 1 (2022), 752-759 (gesamt 8)

Creator
Kondo, Atsumasa

DOI
10.1515/dema-2022-0167
URN
urn:nbn:de:101:1-2022110213093122390002
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:21 AM CEST

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Associated

  • Kondo, Atsumasa

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