4 results
Search Results
Now showing 1 - 4 of 4
Article Citation - WoS: 29Citation - Scopus: 36Fixed Point Results on a Class of Generalized Metric Spaces(Springer Heidelberg, 2012) Aydi, Hassen; Karapinar, Erdal; Lakzian, HosseinBrianciari ('A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,' Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the 'quadrilateral inequality,' d(x, y) <= d(x, a) + d(a, b) + d(b, y) for all pairwise distinct points x, y, a, and b of X. In this paper, we establish a fixed point result for weak contractive mappings T : X -> X in complete Hausdorff generalized metric spaces. The obtained result is an extension and a generalization of many existing results in the literature.Article Citation - WoS: 14Citation - Scopus: 7Some Fixed Points Results on Branciari Metric Spaces Via Implicit Functions(North Univ Baia Mare, 2015) Karapinar, Erdal; MathematicsIn this paper, we introduce the notion of alpha-implicit contractive mapping of integral type in the context of Branciari metric spaces. The results of this paper, generalize and improve several results on the topic in literature. We give an example to illustrate our results.Conference Object Citation - Scopus: 1On (α, Ψ) Contractions of Integral Type on Generalized Metric Spaces(Springer International Publishing, 2015) Karapinar,E.In this paper, we investigate the existence and uniqueness of fixed points of (α,ψ)-contractive mappings of integral type in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in literature. © 2015 Springer International Publishing Switzerland.Article Citation - Scopus: 11Some Fixed Points Results on Branciari Metric Spaces Via Implicit Functions(North University of Baia Mare, 2015) Karapinar, E.In this paper, we introduce the notion of α-implicit contractive mapping of integral type in the context of Branciari metric spaces. The results of this paper, generalize and improve several results on the topic in literature. We give an example to illustrate our results. © 2015, North University of Baia Mare. All rights reserved.
