Frontiers in Applied Mathematics and Statistics | Fixed Point Theory section | New and Recent Articles
https://www.frontiersin.org/journals/applied-mathematics-and-statistics/sections/fixed-point-theory
RSS Feed for Fixed Point Theory section in the Frontiers in Applied Mathematics and Statistics journal | New and Recent Articlesen-usFrontiers Feed Generator,version:12021-09-17T03:44:04.8275516+00:0060https://www.frontiersin.org/articles/10.3389/fams.2015.00009
https://www.frontiersin.org/articles/10.3389/fams.2015.00009
Wardowski conditions to the coincidence problem2015-08-31T00:00:00ZDavid Ariza-RuizJesus Garcia-FalsetKishin SadaranganiIn 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.]]>https://www.frontiersin.org/articles/10.3389/fams.2015.00004
https://www.frontiersin.org/articles/10.3389/fams.2015.00004
Generic convergence of infinite products of nonexpansive mappings with unbounded domains2015-05-11T00:00:00ZSimeon ReichAlexander J. ZaslavskiWe study the generic convergence of infinite products of nonexpansive mappings with unbounded domains in hyperbolic metric spaces.]]>