A refinement of the browder-göhde-kirk fixed point theorem and some applications

HIGHLIGHTS

  • who: Janusz Matkowski from the (UNIVERSITY) have published the Article: A refinement of the Browder-Gu00f6hde-Kirk fixed point theorem and some applications, in the Journal: (JOURNAL)

SUMMARY

    In Sect 4, the authors use Theorem 1 to get a result on the existence and uniqueness of Lp -solutions (1 and amp;lt; p and amp;lt; +∞) of the iterative functional equation ϕ (x)=h (x, ϕ ). Let X, Y be normed spaces, C ⊂ X a convex set, T: C → Y a mapping, and β: (0, ∞) → [0, ∞) a real function such that T x - T y ≤ β ( x . . .

     

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