On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces. (18th May 2015)

• Record Type: Journal Article
• Authors: Chugh, Renu; Malik, Preety; Kumar, Vivek
• Other Names: Hussain Nawab Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-05-18
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/905834
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The purpose of this paper is to consider a new implicit iteration and study its strong convergence, stability, and data dependence. It is proved through numerical examples that newly introduced iteration has better convergence rate than well known implicit Mann iteration as well as implicit Ishikawa iteration and implicit iterations converge faster as compared to corresponding explicit iterations. Applications of implicit iterations to RNN (Recurrent Neural Networks) analysis are also presented.