A new contribution to discontinuity at fixed point

Autor:	Yilmaz Özgür, N. Taș
Přispěvatelé:	Fen Edebiyat Fakültesi
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Applied Mathematics Mathematical analysis Primary 47H10 Secondary 54H25 47H09 Activation Function Discontinuity Fixed Circle Fixed point Computational Mathematics Discontinuity (geotechnical engineering) Mathematics - Metric Geometry Fixed Point Metric Space Analysis Mathematics
Popis:	The aim of this paper is to obtain new solutions to the open question on the existence of a contractive condition which is strong enough to generate a fixed point but which does not force the map to be continuous at the fixed point. To do this, we use the right-hand side of the classical Rhoades' inequality and the number $M(x,y)$ given in the definition of an $(\alpha ,\beta )$-Geraghty type-$I$ rational contractive mapping. Also we give an application of these new results to discontinuous activation functions. Comment: 13 pages, 1 figure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd35e82c666ac58b456a33b27c425c7f http://arxiv.org/abs/1705.03699 Zobrazit plný text záznamu