On θ-generalized demimetric mappings and monotone operators in Hadamard spaces

Abstract

<jats:title>Abstract</jats:title><jats:p>Our main interest in this article is to introduce and study the class of <jats:italic>θ</jats:italic>-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is proposed, and we prove that it converges strongly to a fixed point of a <jats:italic>θ</jats:italic>-generalized demimetric mapping and a common zero of a finite family of monotone operators in a Hadamard space. Furthermore, we apply the obtained results to solve a finite family of convex minimization problems, variational inequality problems and convex feasibility problems in Hadamard spaces.</jats:p>

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