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Article Citation - WoS: 16Citation - Scopus: 20Fixed 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: 51Citation - Scopus: 55Triple 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.
