carpathian_2020_36_1_127_139_001

Modified inertial double Mann type iterative algorithm for a bivariate weakly nonexpansive operator


Padcharoen, Anantachai and Sombut, Kamonrat


Abstract

carpathian_2020_36_1_127_139_abstract

We introduce a modified inertial double Mann type iterative method to approximate coupled solutions of a bivariate nonexpansive operator T : C\times C\rightarrow C, where C is a nonempty closed and convex subset of a Hilbert space. The one theorem and complement important old and recent results in coupled fixed point theory. Some appropriate examples to illustrate our results and their generalization are also given.