Wardowski conditions to the coincidence problem
نویسندگان
چکیده
In this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T,S :X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process toward the solution of a second order differential equation.
منابع مشابه
Some fixed point theorems concerning F-contraction in complete metric spaces
*Correspondence: [email protected]; [email protected] 2Department of Mathematics, Faculty of Science, King Mongkutís University of Technology Thonburi (KMUTT), 126 Bangmod, Thrung Khru, Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by ...
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