Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings

نویسندگان

1 Department of Pure Mathematics, Payame Noor University (PNU), P. O. Box: 19395-3697, Tehran, Iran.

doi
10.22067/ijnao.2023.79068.1188
چکیده

In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type. As a result, we obtain priori and posteriori error estimates of Zlatanov for approximating the best proximity points ofcyclic contraction maps on this type of space.