New algorithms for solving system of generalized mixed equilibrium problems and some nonlinear problems, with applications

In this paper, new iterative algorithms of Krasnoselkii-type and Halpern-type for approximating common fixed points of a countable family of equally continuous and totally quasi-φ-asymptotically nonexpansive maps, common zeros of a countable family of -inverse strongly monotone maps and a common ele...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Optimization Ročník 67; číslo 12; s. 2325 - 2345
Hlavní autoři:	Nnyaba, U. V., Romanus, O. M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia Taylor & Francis 02.12.2018 Taylor & Francis LLC
Témata:	Algorithms Banach spaces equally continuous maps Fixed points (mathematics) Halpern-type algorithm Iterative algorithms Iterative methods Krasnoselskii-type algorithm system of generalized mixed equilibrium problems totally quasi-φ-asymptotically nonexpansive multi-valued maps
ISSN:	0233-1934, 1029-4945
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	In this paper, new iterative algorithms of Krasnoselkii-type and Halpern-type for approximating common fixed points of a countable family of equally continuous and totally quasi-φ-asymptotically nonexpansive maps, common zeros of a countable family of -inverse strongly monotone maps and a common element of a set of solutions to a system of generalized mixed equilibrium problems in a 2-uniformly convex and uniformly smooth real Banach space are introduced and studied. Our theorems are significant improvements of some recent important results, in particular, the results of Deng (J Fixed Point Theory appl. 2016); Ofoedu and Malonza (Appl Math Comput. 2011;217:6019-6030), and Wang et al. (Fixed Point Theory Appl. 2012;34).
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0233-1934 1029-4945
DOI:	10.1080/02331934.2018.1542530