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Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds

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Abstract The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed… Click to show full abstract

Abstract The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed point for quasi-nonexpansive mappings in Hadamard manifolds. It is shown that under mild conditions, the iterative sequence generated by the proposed algorithm converges to a common solution. As applications, we apply our results to study the minimization problems and saddle point problems in Hadamard manifolds.

Keywords: problems equilibrium; hadamard manifolds; variational inclusion; problems fixed; equilibrium problems; inclusion problems

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2021

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