A tripled fixed point theorem for semigroups of Lipschitzian mappings on metric spaces with uniform normal structure

摘要

In this work, we establish a tripled fixed point theorem for an asymptotically regular one-parameter semigroup ? = { F ( t ) : t ∈ G , where G is an unbounded subset of [ 0 , ∞ ) } of Lipschitzian self-mappings on X × X × X in a complete bounded metric space X with uniform normal structure.