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Paper   IPM / M / 16894
School of Mathematics
  Title:   (\Alpha, \Beta)-nonexpansive mappings and Picard operators
  Author(s):  Hamid Reza Hajisharifi (Joint with A. Amini-Harandi and M. Goli)
  Status:   To Appear
  Journal: Fixed Point Theory
  Supported by:  IPM
Let C be a nonempty closed bounded (not necessary convex) subset of a Banach space X and let T : C C be an (, )-nonexpansive mapping with > 0, > 0 and + < 1. In this paper, we show that T has a unique fixed point. Moreover, T is a Picard operator if and only if T is asymptotically regular.

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