On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces

Asawathep CuntavepanitWithun PhuengrattanaNakhon Pathom Rajabhat UniversityMahidol University2019-08-232019-08-232018-03-04Optimization Methods and Software. Vol.33, No.2 (2018), 311-32110294937105567882-s2.0-85017649526https://repository.li.mahidol.ac.th/handle/20.500.14594/45647© 2017 Informa UK Limited, trading as Taylor & Francis Group. In this paper, we propose a new modified proximal point algorithm for a finite family of non-expansive mappings in the framework of CAT(0) spaces. We establish Δ-convergence and strong convergence theorems under some mild conditions. Our results extend some known results which appeared in the literature.Mahidol UniversityComputer ScienceMathematicsOn solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spacesArticleSCOPUS10.1080/10556788.2017.1312397