LOCALLY CONVEX-SPACES
Asymmetric locally convex spaces
... The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the Eidelheit- Tuckey separation ...
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Periodic point and fixed point results for monotone mappings in complete ordered locally convex spaces with application to differential equations
... in locally convex spaces [3, p 90] is used to define condensing operators in this new ...ordered locally convex spaces and use it to prove the existence of a periodic and a fixed ...
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On reducibility of some operator semigroups and algebras on locally convex spaces
... H-locally convex spaces the trace functional is well-defined on nuclear operators and a generalization to these spaces of Lidskii’s theorem holds, which says that the trace of nuclear operator ...
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Existence Result of Generalized Vector Quasiequilibrium Problems in Locally -Convex Spaces
... in locally G-convex spaces given by Yuan 28 which is a generalization of the Fan-Glickberg-type fixed point theorems for upper semicontinuous set-valued mapping with nonempty closed acyclic values ...
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Fixed point theorems in locally convex spaces—the Schauder mapping method
... The aim of this Note is to show that Schauder mapping method can be adapted to yield a proof of Kakutani fixed point theorem in locally convex spaces. For the sake of completeness we include also a ...
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Efficiency and Choquet boundaries in separated locally convex spaces
... separated locally convex spaces, which cannot be obtained as a consequence of the axiomatic potential theory and, following the above results, offers new pertinent prop- erties for the efficient point ...
15
Common fixed points and best approximations in locally convex spaces
... of spaces which are not normable (see [[21], ...a locally convex ...necessarily convex or compact in locally convex spaces has a ...
9
Hyperinvariant subspaces for some operators on locally convex spaces
... The proof with the first assumption in (2.13) is made by Kramar [7], the proof with the second one is similar. In the next lemma one needs the Riesz functional calculus which can be generalized to locally ...
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Fixed point theorems and the Krein-S̆mulian property in locally convex spaces
... This paper is organized as follows. In Section , we present the relevant definitions and results needed in our work. In Section , we establish some new fixed point theorems for (.) in the framework of locally ...
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Fixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces
... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ...
6
Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
... Let X and Z be real locally convex Hausdorff spaces, K ⊂ X be a nonempty subset, and C ⊂ Z be a closed convex pointed cone. Let F : K × K ® 2 Z be a given set-valued mapping. Ansari et al. ...
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Fixed point theorems for a sum of two mappings in locally convex spaces
... The following theorem is an extension of Theorem 3.1 of Cain and Nashed [2] for a sum of contraction and continuous mappings to a sum of certain type of asymptotically nonexpansive mappi[r] ...
6
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
On the semi inner product in locally convex spaces
... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ...
6
A Note on Implicit Functions in Locally Convex Spaces
... Implicit function theorems are an important tool in nonlinear analysis. They have significant applications in the theory of nonlinear integral equations. One of the most important results is the classic ...
6
On sequentially retractive inductive limits
... Vogt in [7] studied condition (M) for LF-spaces, that is, for inductive limits of metrizable and complete (equivalently and sequentially complete) locally convex spaces. He obtained several ...
6
Positive operators and approximation in function spaces on completely regular spaces
... function spaces defined on possibly nonlocally compact spaces (in the locally compact case the theory is rather rich and complete, see, ...dimensional locally convex spaces were ...
31
On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces
... (BK) spaces. Further the study looks at the vector sequence spaces associated with these ...the spaces of compact linear maps from locally convex spaces into BK spaces in ...
9
A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa
... (in locally convex spaces compact convex non- void disjoint sets can be strictly separated) which is a consequence of the Hahn-Banach theorem (not directly from the Hahn-Banach theorem, as the ...
9
On the Krasnoselskii type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
... Banach spaces and proved a theorem on the existence of fixed points for such map- pings in uniformly convex Banach ...to locally convex spaces a well known fixed point theorem of ...
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