Coincidences of Nonself Operators by a Simpler Algorithm

Abstract

In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.

Keywords:

• Banach space
• data dependency
• Jungck-Khan iterative algorithm
• strong convergence

Mathematics Subject Classification:

• 47H06
• 54H25