4 results
Search Results
Now showing 1 - 4 of 4
Article Citation - WoS: 54WEAK φ-CONTRACTION ON PARTIAL METRIC SPACES(Eudoxus Press, Llc, 2012) Karapinar, ErdalIn this manuscript, the notion of weak phi-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak phi-contraction.Article Citation - WoS: 51Citation - Scopus: 55Couple Fixed Point on Cone Metric Spaces(Gazi Univ, 2011) Karapinar, Erdal; MathematicsIn this article, some couple fixed point theorems are proved for the class of Banach valued metric spaces. The results are proved without any additional conditions such as normality or regularity.Article Citation - WoS: 73Citation - Scopus: 90Fixed Point Theorems in Cone Banach Spaces(Springer international Publishing Ag, 2009) Karapinar, Erdal; Abdeljawad, Thabet; Tas, KenanIn this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm parallel to x parallel to(P) = d(x, 0), if there exist a, b, s and T : C -> C satisfies the conditions 0 <= s + vertical bar a vertical bar - 2b < 2(a + b) and 4ad(Tx, Ty) + b(d(x, Tx) + d(y, Ty)) <= sd(x, y) for all x, y is an element of C, then T has at least one Fixed point. Copyright (C) 2009 Erdal Karapinar.Article Citation - WoS: 12Triple Fixed Points in Ordered Metric Spaces(int Center Scientific Research & Studies, 2012) Aydi, Hassen; Karapinar, ErdalIn this paper, we prove triple fixed point theorems in partially ordered metric spaces depended on another function. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74(15) (2011) 4889-48971. Also, we state some examples showing that our results are effective.
