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Proximal point algorithms for fixed point problem and convex minimization problem

, 2020
This article is distributed under the Creative Commons by-nc-nd Attribution License. Copyright c © 2020 Hikari Ltd. Abstract In this paper, a new algorithm for finding common elements of the set of minimizers of a convex function and the set of fixed ...
Y. B. El Yekheir   +3 more
semanticscholar   +1 more source

A New Relaxed Inertial Ishikawa-Type Algorithm for Solving Fixed Points Problems with Applications to Convex Optimization Problems

Asia Pacific Journal of Mathematics
. In this research, we present a new relaxed intertial algorithm without viscosity for solving common solution of countable family of nonexpansive mappings in real Hilbert spaces. We obtain the strong convergence results of the proposed method under some
R. E. Orim   +3 more
semanticscholar   +1 more source

Modi ed inertia Halpern method for split null point problem in Banach spaces

Studia Universitatis Babeş-Bolyai. Mathematica
. In this paper, we study split null point problem in reflexive Banach spaces. Using the Bregman technique together with a modified inertial Halpern method, we approximate a solution of split null point problem.
H. Abass, G. Ugwunnadi, O. Narain
semanticscholar   +1 more source

Some results for the Hodge decomposition theorem in Euclidean three-space

, 2016
The Hodge Decomposition Theorem plays a significant role in the study of partial differential equations. Several interrelated propositions which are required for the proof of the Hodge theorem in Euclidean three-space are introduced and proved in a novel
P. Bracken
semanticscholar   +1 more source

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