Omitted ray fixed point theorem

• Published in: Fixed point theory and algorithms for sciences and engineering Vol. 17; no. 2; pp. 313 - 330
• Main Authors: Avery, Richard, Henderson, Johnny, Liu, Xueyan
• Format: Journal Article
• Language: English
• Published: Basel Springer Basel 01.06.2015; Springer Nature B.V
• Subjects: Analysis; Fixed points (mathematics); Mathematical Methods in Physics; Mathematics; Mathematics and Statistics; Theorems; 47H10; omitted ray; Altman; Fixed point theorems; compression; expansion; Leggett–Williams
• ISSN: 1661-7738; 1661-7746; 2730-5422
• DOI: 10.1007/s11784-013-0144-1

This paper presents a functional version of Altman’s condition as an alternative to the standard inward-outward techniques used in the Krasnoselskii and Leggett–Williams type fixed point theorems. Leggett– Williams type arguments are utilized to minimize the conditions on the boundaries of the funct...