Article ID Journal Published Year Pages File Type
841544 Nonlinear Analysis: Theory, Methods & Applications 2010 9 Pages PDF
Abstract

Assume that XX is a real Banach space with uniformly normal structure and CC is a nonempty closed convex subset of XX. We show that a κκ-uniformly Lipschitzian semigroup of nonlinear self-mappings of CC admits a common fixed point if the semigroup has a bounded orbit and if κκ is appropriately greater than one. This result applies, in particular, to the framework of uniformly convex Banach spaces.

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