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A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications

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In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for… Click to show full abstract

In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

Keywords: inclusion problems; hadamard manifolds; monotone inclusion; new algorithm; fixed points; manifolds applications

Journal Title: Acta Mathematica Scientia
Year Published: 2021

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