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Strong convergence of modified inertial Mann algorithms for nonexpansive mappings

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arxiv 2001.07346 v1 pith:LA2RRK7Y submitted 2020-01-21 math.OC math.FA

Strong convergence of modified inertial Mann algorithms for nonexpansive mappings

Bing Tan , Zheng Zhou , Songxiao Li This is my paper
classification math.OC math.FA
keywords algorithmsconvergencefeasibilityinertialmannmodifiedproblemresults
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In this paper, we introduce two new modified inertial Mann Halpern and viscosity algorithms for solving fixed point problems. We establish strong convergence theorems under some suitable conditions. Finally, our algorithms are applied to split feasibility problem, convex feasibility problem and location theory. The algorithms and results presented in this paper can summarize and improve corresponding results previously known in this area.

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