On modified α-ϕ-fuzzy contractive mappings and an application to integral equations

Autor:	Poom Kumam, Calogero Vetro, Urmila Mishra
Přispěvatelé:	Mishra, U, Vetro, C, Kumam, P
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	integral equations Generalization 02 engineering and technology Fixed point 01 natural sciences Fuzzy logic Settore MAT/05 - Analisi Matematica 0202 electrical engineering electronic engineering information engineering modified α-ϕ-fuzzy contractive mapping Discrete Mathematics and Combinatorics 0101 mathematics α-admissible mapping with respect to η Mathematics Discrete mathematics business.industry Applied Mathematics lcsh:Mathematics Usability lcsh:QA1-939 Integral equation Fuzzy metric space 010101 applied mathematics Algebra integral equation fixed point 020201 artificial intelligence & image processing $alpha$-admissible mapping with respect to $eta$ fixed point modified $alpha$-$phi$-fuzzy contractive mapping integral equations business Analysis
Zdroj:	Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-15 (2016)
DOI:	10.1186/s13660-016-1007-2
Popis:	We introduce the notion of a modified α-ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings. The theorems presented provide a generalization of some interesting results in the literature. Two examples and an application to integral equations are given to illustrate the usability of our theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::940ac28bd1c2c8a52df6809bf92981e0 http://link.springer.com/article/10.1186/s13660-016-1007-2 Zobrazit plný text záznamu Plný text ve formátu PDF