Journal
MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 11, Issue 2, Pages 713-727Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00009-013-0330-9
Keywords
Equilibrium problem; Halpern-type iterative algorithm; common fixed point; relatively quasi-nonexpansive multivalued mappings
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In this paper, we introduce Halpern-type iterative algorithm for finding a common element of the set of common fixed points of an infinite family of relatively quasi-nonexpansive multivalued mappings and the set of solutions of an equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence to common elements of two set is established. Our results improved and extend the corresponding results announced by many others.
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