A projection method for solving nonlinear problems in reflexive Banach spaces |
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Authors: | Simeon Reich Shoham Sabach |
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Institution: | (3) Dept. Math. Univ. Aegean, Karlovassi, Samos, Greece;(4) A.G. Anderson Graduate School of Management Univ. California, Riverside, California, USA |
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Abstract: | We study the convergence of an iterative algorithm for finding common fixed points of finitely many Bregman firmly nonexpansive
operators in reflexive Banach spaces. Our algorithm is based on the concept of the so-called shrinking projection method and
it takes into account possible computational errors. We establish a strong convergence theorem and then apply it to the solution
of convex feasibility and equilibrium problems, and to finding zeroes of two different classes of nonlinear mappings. |
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Keywords: | |
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