Analytical and numerical treatment of Jungck-type iterative schemes

作者：Khan Abdul Rahim^*; Kumar Vivek; Hussain Nawab

来源：Applied Mathematics and Computation, 2014, 231: 521-535.

DOI：10.1016/j.amc.2013.12.150

• Jungck-type iterative schemes
• Data dependence
• Convergence rate
• Strong convergence
• Stability

In this paper, we introduce a new and general Jungck-type iterative scheme for a pair of nonself mappings and study its strong convergence, stability and data dependence. It is exhibited that our iterative scheme has much better convergence rate than those of Jungck-Mann, Jungck-Ishikawa, Jungck-Noor and Jungck-CR iterative schemes. Numerical examples in support of validity and applications of our results are provided. Our results are extension, improvement and generalization of many known results in the literature of fixed point theory.

• 出版日期2014-3-15
• 单位中国石油大学（北京）