Composition of resolvents and quasi-nonexpansive multivalued mappings in Hadamared spaces

Document Type: Research Paper

Authors

1 Department of Pure Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Tabriz‎, ‎Tabriz‎, ‎Iran.

2 Department of Mathematics‎, ‎University of Science and Technology of Mazandaran‎, ‎P.O‎. ‎Box 48518-78195‎, ‎Behshahr‎, ‎Iran.

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.

Keywords

Main Subjects


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Volume 43, Issue 6
November and December 2017
Pages 1939-1955
  • Receive Date: 20 June 2016
  • Revise Date: 03 December 2016
  • Accept Date: 04 December 2016