THE MONOTONICITY OF DARBOUX AND 2-INJECTIVE FUNCTIONS

Applicable Analysis and Discrete Mathematics

article

Cristinel Mortici¹ 

[1] Valahia University of Tˆargovi¸ste Aleea Sinaia 13, 130004 Tˆargovi¸ste, Romania Politehnica University of Bucharest Splaiul Independent

关键词: Intermediate value property;    Injectivity;    Monotonicity;   

DOI  :  10.2298/AADM200616024M

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

Undoubtedly, the most known is the fact that a Darboux function that isalso injective, is in fact strictly monotone. Going further, a monotone, Darboux function is continuous in its domain of definition. This statement is a kind ofreciprocal part of the connection between the Intermediate Value Property andcontinuity.

【 授权许可】

Unknown