Approximate Fixed Points of Nonexpansive Mappings

Alexander J. Zaslavski  is a senior researcher at the Technion - Israel Institute of Technology. He was born in Ukraine in 1957 and got his PhD in Mathematical Analysis in 1983,  The Institute of Mathematics, Novosibirsk. He is the author of 26 research monographs and more than 600 research papers and editor of more than 70 edited volumes and journal  special issues. He is the Founding Editor and Editor-in Chief of the journal Pure and Applied Functional Analysis, and Editor-in-Chief of  the journal Communications in Optimization Theory.  His area of research contains nonlinear functional analysis, control theory, optimization, calculus of variations, dynamical systems theory, game theory and mathematical economics.

• Preface.- 1. Introduction.- 2. Asymptotic regularity for iterations of nonexpansive mappings.- 3. Asymptotic regularity for iterations of monotone nonexpansive mappings.- 4. Asymptotic regularity of uniformly locally nonexpansive mappings.- 5. Asymptotic regularity property in spaces with graphs.- 6. Inexact Viscosity Approximation Methods in Hilbert Spaces.- 7. A common fixed point problem.- 8. Perov contraction mappings.- 9. Cyclical mappings.- 10. Monotone nonexpansive mappings.- 11. Uniformly Locally Contractive Mappings.- 12. Set-valued mappings.- 13. Nonexpansive mappings in spaces with graphs.- References.- Index.