[PDF] Top 20 Topological Vector-Space Valued Cone Banach Spaces
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Topological Vector-Space Valued Cone Banach Spaces
... normed spaces, discuss related topological concepts and characterize the tvs-cone norm in various ...like Banach, Kannan, Chatterjea and quasi ...tvs-cone Banach spaces ... See full document
15
Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
... a topological vector space, X ∗ the topological dual space of X, K a nonempty convex subset of X, D a nonempty compact convex set in K, and the bilinear form · , · ... See full document
9
Multivalued fixed point theorems in tvs-cone metric spaces
... a topological vector space with its zero vector θ ...convex cone if P + P ⊆ P and λP ⊆ P for λ ≥ . A convex cone P is said to be pointed (or proper) if P ∩ (–P) = { θ } ; and P ... See full document
13
Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces
... on topological vector space (tvs)-cone metric spaces and prove various fixed point theorems for w -cone distance contraction mappings in tvs-cone metric ... See full document
9
Minimax problems under hierarchical structures
... Theorem Let U, V be nonempty compact convex subsets of real Hausdorff topologi- cal spaces, respectively. W is a complete locally convex Hausdorff topological vector space. Suppose that the ... See full document
15
Proximinality in Banach space valued Musielak Orlicz spaces
... in Banach space valued Bochner-Lebesgue spaces with constant exponent have been extensively studied; see ...in Banach space valued Bochner-Lebesgue spaces with ... See full document
9
Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone
... partial cone metric space X is convergent whenever E is a normed vector space, and the converse is true provided that P is a ...partial cone metric, which is convergent but not strongly ... See full document
9
Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces
... The rest of the paper is organized as follows. In Section , we introduce some basic notations and preliminary results. In Section , under suitable conditions we investigate the equivalence between the nonemptiness and ... See full document
14
Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
... of topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone ... See full document
7
On β dual of vector valued sequence spaces of Maddox
... a Banach space. Let W (X) and Φ (X) denote the space of all sequences in X and the space of all finite sequences in X, ...sequence space in X is a linear subspace of W (X). Let E be an ... See full document
10
Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications
... Hilbert space over the real or complex number field and f, g : Ω → H Bochner measurable on Ω while ρ : Ω → [0, ∞) is Lebesgue integrable and R Ω ρ (x) dx = ... See full document
10
Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces
... metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a ... See full document
8
An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces
... metric spaces, although the name “metric” is due to Housdorff ...metric spaces in which an ordered vector spaces used as the co domain of a metric instead of the set of the real ...metric ... See full document
7
Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
... underlying cone of an ordered tvs is solid and normal, then such tvs must be an ordered normed ...norm-valued cone metric spaces of 7 to tvs-valued cone metric spaces can ... See full document
17
Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
... in Banach space-valued cone metric ...of topological vector space-valued cone metric spaces which is bigger than that of studied in ...in ... See full document
9
Fixed points in topological vector space (tvs) valued cone metric spaces
... in Banach space valued cone metric ...of topological vector space -valued (tvs-valued) cone metric ...metric spaces is bigger than the class of ... See full document
12
3. Fixed point theorems in $N$-polygonal cone metric spaces
... of Banach Contraction Principle for contractions on vector- valued metric spaces by Perov in 1964 ([21]), the notion of cone metric space over an ordered Banach ... See full document
14
Common Fixed Point Theorem in Cone Metric Space for Rational Contractions
... As n → 0 we have kd (u, T (u))k ≤ 0. Hence we get u = T u, u is a fixed point of T . Corollary 2.2. Let (X, d) be a complete cone metric space and P a normal cone with normal constant M . Let T : X → ... See full document
7
On Irresolute Topological Vector Spaces
... a vector space which fails to satisfy the continuity condition for vector addition and scalar multipli- cation or ...in topological spaces, defined by Levine ...irresolute ... See full document
8
A new kind of inner superefficient points
... positive cone has an empty ...trivial cone C = {} and a cone C having a nonempty ...the vector optimization problem under the condition that ordering cone has an empty interior has ... See full document
11
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