Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Kannan nonexpansive mapping"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-32 (2021)
Abstract In this article, we investigate the notion of the pre-quasi norm on a generalized Cesàro backward difference sequence space of non-absolute type ( Ξ ( Δ , r ) ) ψ $(\Xi (\Delta,r) )_{\psi }$ under definite function ψ. We introduce the s
Externí odkaz:
https://doaj.org/article/4a63c6061cd34e6dbd48f8b5a10fdbca
Autor:
Afrah. A. N. Abdou
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6395-6403 (2020)
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we study the existence of fixed points for contrac
Externí odkaz:
https://doaj.org/article/30e9100e41d44a72b6dc6aca4ee866c7
Autor:
Fukhar-ud-din Hafiz, Berinde Vasile
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 1, Pp 56-69 (2018)
We introduce Prešić-Kannan nonexpansive mappings on the product spaces and show that they have a unique fixed point in uniformly convex metric spaces. Moreover, we approximate this fixed point by Mann iterations. Our results are new in the literatu
Externí odkaz:
https://doaj.org/article/74481072ca4b49089d8d587d39612d07
Publikováno v:
Mathematics, Vol 8, Iss 4, p 578 (2020)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we lo
Externí odkaz:
https://doaj.org/article/607094cf2e8247a1b673609f5c44c752
Publikováno v:
Mathematics, Vol 8, Iss 1, p 76 (2020)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we lo
Externí odkaz:
https://doaj.org/article/1b0edccbf42a427793bbab67cc9cdafa
Autor:
Gabeleh Moosa
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 22, Iss 3, Pp 45-58 (2014)
We consider, in the setting of convex metric spaces, a new class of Kannan type cyclic orbital contractions, and study the existence of its best proximity points. The same problem is then discussed for relatively Kannan nonexpansive mappings, by usin
Externí odkaz:
https://doaj.org/article/5f5da9fb4af64a219e19aeeb88e66f2e
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-32 (2021)
In this article, we investigate the notion of the pre-quasi norm on a generalized Cesàro backward difference sequence space of non-absolute type $(\Xi (\Delta,r) )_{\psi }$ ( Ξ ( Δ , r ) ) ψ under definite function ψ. We introduce the sufficient
Autor:
Mohamed A. Khamsi, Afrah A. N. Abdou
Publikováno v:
Mathematics, Vol 8, Iss 578, p 578 (2020)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we lo
Autor:
Vasile Berinde, Hafiz Fukhar-ud-din
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 1, Pp 56-69 (2018)
We introduce Prešić-Kannan nonexpansive mappings on the product spaces and show that they have a unique fixed point in uniformly convex metric spaces. Moreover, we approximate this fixed point by Mann iterations. Our results are new in the literatu
Autor:
Moosa Gabeleh, Olivier Olela Otafudu
Publikováno v:
Quaestiones Mathematicae; Vol 40, No 6 (2017); 739-751
Consider a self-mapping T defined on a union of two subsets A and B of a Banach space such that T(A) ⊆ B and T(B) ⊆ A. In this work we survey the existence of an optimal approximate solution, known as a best proximity point for a class of cyclic