COMMON FIXED POINTS FOR SEMIGROUPS OF POINTWISE LIPSCHITZIAN MAPPINGS IN BANACH SPACES

Authors

  • Wojciech M Kozlowski

Keywords:

Fixed point, common fixed point, Lipschitzian mapping, pointwise Lipschitzian mapping, semigroup of mappings, asymptotic pointwise nonexpansive mapping, stochastic dynamical systems

Abstract

We investigate the existence of common fixed points for pointwise Lipschitzian semigroups of nonlinear mappings acting in a bounded, closed, convex subset of a uniformly convex Banach space. We also demonstrate how the asymptotic aspect of the pointwise Lipschitzian semigroups can be expressed in terms of the respective Frechet derivatives. doi:10.1017/S0004972711002668

Published

2011-10-17

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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