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On the fixed points in an ω -limit set

Jack G. Ceder (1992)

Mathematica Bohemica

Let M and K be closed subsets of [0,1] with K a subset of the limit points of M . Necessary and sufficient conditions are found for the existence of a continuous function f : [ 0 , 1 ] [ 0 , 1 ] such that M is an ω -limit set for f and K is the set of fixed points of f in M .

On the Generalized Confluent Hypergeometric Function and Its Application

Virchenko, Nina (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.

On the insertion of Darboux functions

Aleksander Maliszewski (1998)

Fundamenta Mathematicae

The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.

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