AN EVOLUTION EQUATION GOVERNED BY A QUASI-NONEXPANSIVE MAPPING ON HADAMARD MANIFOLDS AND ITS BACKWARD DISCRETIZATION

Hadi Khatibzadeh, Mohsen Rahimi Piranfar

Abstract


An evolution equation governed by a locally Lipschitz quasi-nonexpansive mapping on Hadamard manifolds is investigated. We prove convergence of the solution to a fixed point of the mapping. Discrete versions are also studied which provide iterative methods to approximate a fixed point of these mappings on Hadamard manifolds.

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