A Type of Minimax Inequality for Vector-Valued Mappings
نویسندگان
چکیده
منابع مشابه
a cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولCommon fixed point theorem for nonexpansive type single valued mappings
The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...
متن کاملLower Semicontinuous Regularization for Vector-Valued Mappings
The concept of the lower limit for vector-valued mappings is the main focus of this work. We first introduce a new definition of adequate lower and upper level sets for vector-valued mappings and establish some of their topological and geometrical properties. Characterization of semicontinuity for vector-valued mappings is thereafter presented. Then, we define the concept of vector lower limit,...
متن کاملMinimax Theorems for Set-Valued Mappings under Cone-Convexities
and Applied Analysis 3 Lemma 2.4 see 9, Lemma 3.1 . Let X, Y, and Z be three topological spaces. Let Y be compact, F : X × Y ⇒ Z a set-valued mapping, and the set-valued mapping T : X ⇒ Z defined by T x ⋃ y∈Y F ( x, y ) , ∀x ∈ X. 2.2 a If F is upper semi-continuous on X × Y, then T is upper semi-continuous on X. b If F is lower semi-continuous onX, so is T. Lemma 2.5 see 9, Lemma 3.2 . Let Z be...
متن کاملA large-deviation inequality for vector-valued martingales
Let X = (X0, . . . , Xn) be a discrete-time martingale taking values in any real Euclidean space such that X0 = 0 and for all n, ‖Xn − Xn−1‖ ≤ 1. We prove the large deviation bound Pr [‖Xn‖ ≥ a] < 2e1−(a−1) 2/2n. This upper bound is within a constant factor, e2, of the AzumaHoeffding Inequality for real-valued martingales. This improves an earlier result of O. Kallenberg and R. Sztencel (1992)....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1998
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6076