On some fixed-point theorems for psi-contraction on metric space involving a graph

Öztürk, Mahpeyker

dc.contributor.authors	Ozturk, M; Girgin, E
dc.date.accessioned	2020-01-17T08:21:38Z
dc.date.available	2020-01-17T08:21:38Z
dc.date.issued	2014
dc.identifier.citation	Ozturk, M; Girgin, E (2014). On some fixed-point theorems for psi-contraction on metric space involving a graph. JOURNAL OF INEQUALITIES AND APPLICATIONS, , -
dc.identifier.issn	1029-242X
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6020
dc.identifier.uri	https://doi.org/10.1186/1029-242X-2014-39
dc.description.abstract	In this paper, we introduce the (G,psi)-contraction and the (G,psi)-graphic contraction in a metric space by using a graph. We explain some conditions for a mapping which is a (G,psi)-contraction to have a unique fixed point and also we give conditions as regards the existence of a fixed point for (G,psi)-graphic contraction by applying the connectivity of the graph in both cases. Moreover, we give examples to show that our results are a substantial improvement of some known results in the literature.
dc.language	English
dc.publisher	SPRINGEROPEN
dc.subject	connected graph; fixed point; metric space; psi-type contraction
dc.title	On some fixed-point theorems for psi-contraction on metric space involving a graph
dc.type	Article
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Öztürk, Mahpeyker
dc.relation.journal	JOURNAL OF INEQUALITIES AND APPLICATIONS
dc.identifier.wos	WOS:000332040600014
dc.identifier.doi	10.1186/1029-242X-2014-39
dc.contributor.author	Öztürk, Mahpeyker