Convergence of the Ishikawa Type Iteration Process with Errors of I-Asymptotically Quasi-nonexpansive Mappings in Cone Metric Spaces
Ashfaque Ur Rahman *
Department of Mathematics, Motilal Vigyan Mahavidyalaya, Bhopal, Madhya Pradesh, 462016, India.
K. Qureshi
Department of Higher Education, Government of Madhya Pradesh, 462004, India.
Geeta Modi
Department of Mathematics, Motilal Vigyan Mahavidyalaya, Bhopal, Madhya Pradesh, 462016, India.
Manoj Ughade
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, 462016, India.
*Author to whom correspondence should be addressed.
Abstract
The goal of this article is to consider an Ishikawa type iteration process with errors to approximate the fixed point of -asymptotically quasi non-expansive mapping in convex cone metric spaces. Our results extend and generalize many known results from complete generalized convex metric spaces to cone metric spaces.
Keywords: Ishikawa type iteration, I-asymptotically quasi-nonexpansive mapping, asymptotically nonexpansive mapping, cone metric space, normal and nonnormal cone, fixed point.