NEW IMPLICIT KIRK-TYPE SCHEMES FOR GENERAL CLASS OF QUASI-CONTRACTIVE OPERATORS IN GENERALIZED CONVEX METRIC SPACES
Loading...
Date
2017-04-11
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Austral Internet Publishing
Abstract
In this paper, we introduce some new implicit Kirk-type iterative schemes in generalized
convex metric spaces in order to approximate fixed points for general class of quasi-contractive
type operators. The strong convergence, T-stability, equivalency, data dependence
and convergence rate of these results were explored. The iterative schemes are faster and better,
in term of speed of convergence, than their corresponding results in the literature. These results
also improve and generalize several existing iterative schemes in the literature and they provide
analogues of the corresponding results of other spaces, namely: normed spaces, CAT(0) spaces
and so on.
Description
Keywords
Citation
NEW IMPLICIT KIRK-TYPE SCHEMES FOR GENERAL CLASS OF QUASI-CONTRACTIVE OPERATORS IN GENERALIZED CONVEX METRIC SPACES