Cyclic Meir-Keeler contraction and its fractals

Pasupathi, R. ; Chand, A. K. B. ; Navascués, M. A. (Universidad de Zaragoza)

Resumen: In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce a new type of non-linear contraction namely cyclic Meir-Keeler contraction, which is a generalization of the famous Banach contraction. We show the existence and uniqueness of the fixed point for the cyclic Meir-Keeler contraction. Using this result, we propose the cyclic Meir-Keeler IFS in the literature for construction of fractals. Furthermore, we extend the theory of countable IFS and generalized IFS by using these cyclic Meir-Keeler contraction maps.

Idioma: Inglés

DOI: 10.1080/01630563.2021.1937215

Año: 2021

Publicado en: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 42, 9 (2021), 1053-1072
ISSN: 0163-0563

Factor impacto JCR: 1.418 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 126 / 267 = 0.472 (2021) - Q2 - T2

Factor impacto CITESCORE: 1.8 - Mathematics (Q3) - Computer Science (Q3)

Factor impacto SCIMAGO: 0.522 - Analysis (Q2) - Signal Processing (Q2) - Computer Science Applications (Q2)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)