Generalized weakly a-contractive mappings and applications to ordinary differential equations

Autor:	Duran Turkoglu, Hüseyin Işık
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Oscillation theory Numerical Analysis Generalized weakly a-contraction Two point boundary value problem Control and Optimization Algebra and Number Theory Generalized weakly ?-contraction 010103 numerical & computational mathematics Weakly compatible mappings 01 natural sciences Common fixed point generalized weakly alpha-contraction Integrating factor 010101 applied mathematics L-stability Collocation method Ordinary differential equation Point of coincidence Discrete Mathematics and Combinatorics Applied mathematics 0101 mathematics Differential algebraic equation Analysis Mathematics Numerical partial differential equations
Popis:	In this paper, we introduce the notion of generalized weakly ?-contractive mappings and give some common fixed point results for this type of contraction. The presented theorems extend, generalize and improve many existing results in the literature. Two examples as well as an application to ordinary differential equations are also given in order to illustrate the effectiveness of the obtained results. © 2016 Miskolc University Press.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67e631fa2ca8d763b6ce3436a5e0a5a8 https://hdl.handle.net/20.500.12639/5018 Zobrazit plný text záznamu