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

Grace N. Ogwo, Chinedu Izuchukwu, Kazeem O. Aremu, Oluwatosin T. Mewomo
2020 Demonstratio Mathematica  
AbstractOur 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
more » ... ts to solve a finite family of convex minimization problems, variational inequality problems and convex feasibility problems in Hadamard spaces.
doi:10.1515/dema-2020-0006 fatcat:iyj6outibzhnxg4u6j2alsy5wu