Karapınar, ErdalKarapinar, ErdalMathematics2024-07-052024-07-052009731687-181210.1155/2009/6092812-s2.0-77953229527https://doi.org/10.1155/2009/609281https://hdl.handle.net/20.500.14411/984KARAPINAR, ERDAL/0000-0002-6798-3254In 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.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleWOS:000274885100001