2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces
نویسندگان
چکیده
منابع مشابه
Convexity and Geodesic Metric Spaces
In this paper, we first present a preliminary study on metric segments and geodesics in metric spaces. Then we recall the concept of d-convexity of sets and functions in the sense of Menger and study some properties of d-convex sets and d-convex functions as well as extreme points and faces of d-convex sets in normed spaces. Finally we study the continuity of d-convex functions in geodesic metr...
متن کاملDuality in Vector Optimization in Banach Spaces with Generalized Convexity
We consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given and some results on duality are proved. Mathematics Subject Classifications. 90C46, 49K27, 93C25.
متن کاملGlobal Dynamical Systems Involving Generalized f-Projection Operators and Set-Valued Perturbation in Banach Spaces
A new class of generalized dynamical systems involving generalized f -projection operators is introduced and studied in Banach spaces. By using the fixed-point theorem due to Nadler, the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solutions set of the systems with set-valued pertur...
متن کاملGeneralized set-valued variational-like inclusions and Wiener-Hopf equations in Banach spaces
By using the notion of Jη-proximal mapping for a nonconvex, lower semicontinuous, ηsubdifferentiable proper functional in reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of Wiener-Hopf equations. We propose two new iterative algorithms for the class of generalized set-valued v...
متن کاملUniform Convergence and Uniform Continuity in Generalized Metric Spaces
In the paper [9] we introduced the class of generalized metric spaces. These spaces simultaneously generalize ‘standard’ metric spaces, probabilistic metric spaces and fuzzy metric spaces. We show that every generalized metric space is, naturally, a uniform space. Thus we can use standard topological techniques to study, for example, probabilistic metric spaces. We illustrate this by proving a ...
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: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/384639