Composition of resolvents and quasi-nonexpansive multivalued mappings in Hadamared spaces
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Abstract:
The proximal point algorithm, which is a well-known tool for finding minima of convex functions, is generalized from the classical Hilbert space framework into a nonlinear setting, namely, geodesic metric spaces of nonpositive curvature. In this paper we propose an iterative algorithm for finding the common element of the minimizers of a finite family of convex functions and the common fixed points of a finite family of quasi-nonexpansive multivalued mappings in Hadamard spaces.
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Journal title
volume 43 issue 6
pages 1939- 1955
publication date 2017-11-30
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