Geodesic
On a generalization of tripled fixed or best proximity points for a class of cyclic contractive maps
Filomat, Tome 35 (2021) no. 9, p. 3015

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We enrich the known results about tripled fixed points and tripled best proximity points. We generalize the notion of ordered pairs of cyclic contraction maps and we obtain sufficient conditions for the existence and uniqueness of fixed (or best proximity) points. We get a priori and a posteriori error estimates for the tripled fixed points and for the tripled best proximity points, provided that the underlying Banach space has modulus of convexity of power type in the case of best proximity points, obtained by sequences of successive iterations. We illustrate the main result with an example
DOI : 10.2298/FIL2109015Z
Classification : 41A25, 47H10, 54H25, 46B20
Keywords: tripled fixed points, tripled best proximity points, uniformly convex Banach space, modulus of convexity, a priori error estimate, a posteriori error estimate, system of nonlinear equations 
Boyan Zlatanov. On a generalization of tripled fixed or best proximity points for a class of cyclic contractive maps. Filomat, Tome 35 (2021) no. 9, p. 3015 . doi: 10.2298/FIL2109015Z
@article{10_2298_FIL2109015Z,
     author = {Boyan Zlatanov},
     title = {On a generalization of tripled fixed or best proximity points for a class of cyclic contractive maps},
     journal = {Filomat},
     pages = {3015 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109015Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109015Z/}
}
TY  - JOUR
AU  - Boyan Zlatanov
TI  - On a generalization of tripled fixed or best proximity points for a class of cyclic contractive maps
JO  - Filomat
PY  - 2021
SP  - 3015 
VL  - 35
IS  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2109015Z/
DO  - 10.2298/FIL2109015Z
LA  - en
ID  - 10_2298_FIL2109015Z
ER  - 
%0 Journal Article
%A Boyan Zlatanov
%T On a generalization of tripled fixed or best proximity points for a class of cyclic contractive maps
%J Filomat
%D 2021
%P 3015 
%V 35
%N 9
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2109015Z/
%R 10.2298/FIL2109015Z
%G en
%F 10_2298_FIL2109015Z

Cité par Sources :