On weakly closed functions
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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Displaying similar documents to “Sections induced from weakly sequentially complete spaces”
On weakly closed functions
An alternative Dunford-Pettis Property
Walden Freedman (1997)
Studia Mathematica
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An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that -direct sums of spaces with DP1 have DP1 if 1 ≤ p < ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.
On the class of b-L-weakly and order M-weakly compact operators
Driss Lhaimer, Mohammed Moussa, Khalid Bouras (2020)
Mathematica Bohemica
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In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
On a fixed point theorem for weakly sequentially continuous mapping
Ireneusz Kubiaczyk (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with...
Fixed point theorems for weakly sequentially closed maps
Donal O'Regan (2000)
Archivum Mathematicum
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A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
Agarwal, Ravi P., O&#039;Regan, Donal, Liu, Xinzhi (2005)
Fixed Point Theory and Applications [electronic only]
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On the approximate solutions of linear equations in the -space
Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
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A note on weakly -continuous functions.
Mršević, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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A note on weakly -closed functions
Bishwambhar Roy (2013)
Mathematica Bohemica
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In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation...