Locally convex vector spaces
Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
... strong vector quasiequilibrium problem in real locally convex Hausdorff topological vector spaces is introduced and ...strong vector quasiequilibrium problem by using ...
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Existence Result of Generalized Vector Quasiequilibrium Problems in Locally -Convex Spaces
... linear convex structures, Park and Kim 29 introduced another abstract convexity notion called a G-convex space, which includes many abstract convexity notions such as H-convex spaces as ...
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Asymmetric locally convex spaces
... a convex subset of a vector space X is called an extreme point of Y provided that (1 − t)x + t y = e, for some x, y ∈ Y and 0 < t < 1, implies that x = y = ...nonempty convex subset Z of Y is called ...
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On locally convex probabilistic normed spaces
... a vector space, τ and τ ∗ are continuous triangle functions such that τ ≤ τ ∗ , and υ is a mapping from V into + , called the probabilistic norm, such that for every choice of p and q in V , the following ...
13
Covariant Transforms on Locally Convex Spaces
... Definition 1.1.8 A family {p α } of seminorms on V is said to be separating if to each x ̸= 0 corresponds at least one p α 0 such that p α 0 (x) ̸= 0. Normed vector spaces possess a natural topology induced ...
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Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions
... dimensional vector spaces, while in finite-dimensional vector spaces there are (essentially) a single topology combining these two properties (Hausdorff and ...dimensional vector ...
14
A Note on Implicit Functions in Locally Convex Spaces
... The notion of osculating operators has been considered from different points of view see 2, 3. In this note we reformulate the definition of osculating operators. Our setting is a locally convex topological ...
6
On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces
... Axiom of choice, category theory, epimorphisms of vector spaces, extensions of vector space endomorphisms, linear transformations, partial differential operators with constant coefficien[r] ...
20
Efficiency and Choquet boundaries in separated locally convex spaces
... between vector optimization and the potential theory, together with their applications, we initially offer the theoretical details, the suitable contents, the adequate proofs, important examples, and some con- ...
15
Optimality Conditions and Duality for DC Programming in Locally Convex Spaces
... DC programming of type 1.1 when A is an identity operator has been considered in the R n space in paper 5, where the authors obtained some necessary optimality conditions for local minimizers to 1.1 by using refined ...
10
Multiplication operators on weighted spaces in the non locally convex framework
... KEY WORDS AND PHRASES: Nachbin family of weights, topological vector spaces, vector-valued continuous functions, weighted topology, multiplication operators, locally idempotent topologic[r] ...
5
Some fixed point theorems in locally p-convex spaces
... on convex sets and p-convex ...topological vector spaces by using p-convex sets instead of convex sets, see also [, ...topological vector space via Fan-KKM principle in a ...
10
Common fixed points and best approximations in locally convex spaces
... We extend the main results of Aamri and El Moutawakil and Pant to the weakly compatible or R -weakly commuting pair ( T, f ) of maps, where T is multivalued. As applications, common fixed point theorems are obtained for ...
9
Fixed point theorems and the Krein-S̆mulian property in locally convex spaces
... for given A : X → Y and F : X × Y → X, where X is a locally convex space and Y a topo- logical vector space. In [, ], one of the authors of this paper has established some fixed point results for ...
14
Fixed point theorems in locally convex spaces—the Schauder mapping method
... a locally convex space—as a topological vector space (X,τ) such that 0 admits a neighborhood basis formed by convex sets, or as a pair (X,P) where P is a family of seminorms on X generating a ...
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Some results over thin-thick sets in cone locally convex spaces
... ear operators from X into Y, which is pointwise bounded on A, is bounded. It is evi- denced in [2] a strong uniform boundedness principle valid on all Banach spaces for the thick sets. As an practice of this ...
6
Common fixed point theorems for multimaps in locally convex spaces and some applications
... Banach spaces, only a few have been reported in general topological vector spaces (for example, see [, ] and ...general spaces (as an example, see ...
7
Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications
... in locally convex spaces we obtain a vectorial form of Ekeland- type variational principle in locally convex ...of vector equilibrium problem is ...
15
Sensitivity analysis for generalized quasi-variational relation problems in locally G-convex spaces
... generalized vector equilibrium problems, the generalized vector variational inequality problems ...problems, vector equilib- rium problems and vector variational inequality problems have been ...
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Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications
... the vector quasi-equilibrium problem is an important general- ization of the vector equilibrium problem which provides a unified model for vector quasi-variational inequalities, vector ...
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