منابع مشابه
Orthogonal metric space and convex contractions
In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath might be called their definitive versions. Also, we show that there are examples which show that our main theorems are genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour, {it Approximate fixed points of generalized convex contractions}, Fixed Poi...
متن کاملorthogonal metric space and convex contractions
in this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath might be called their definitive versions. also, we show that there are examples which show that our main theorems are genuine generalizations of theorem 3.1 and 3.2 of cite{r}[ m.a. miandaragh, m. postolache, s. rezapour, textit{approximate fixed points of generalizedconvex contractions},...
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Convexity is one of the most important concepts in a study of analysis. Especially, it has been applied around the optimization problem widely. Our purpose is to define the concept of convexity of a set on Mizar, and to develop the generalities of convex analysis. The construction of this article is as follows: Convexity of the set is defined in the section 1. The section 2 gives the definition...
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Javier Alonso*, Pedro Mart́ın. Universidad de Extremadura, Badajoz, Spain. Characterizations of ellipsoids by sections. Let S be the boundary of a convex body in the d-dimensional Euclidean space E (d ≥ 3). It is well known that S is an ellipsoid if and only if the section of S given by any hyperplane is ellipsoidal. The question of whether it is actually necessary to consider “any” hyperplane t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0428195-1