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

[摘要] Our main interest in this article is to introduce and study the class of θ -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 θ -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.

[学科分类] 外科医学

[关键词] θ-generalized demimetric mappings;demimetric mappings;monotone operators;monotone inclusion problems;Hadamard spaces