A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
Agarwal, Ravi P., O'Regan, Donal, Liu, Xinzhi (2005)
Fixed Point Theory and Applications [electronic only]
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Agarwal, Ravi P., O'Regan, Donal, Liu, Xinzhi (2005)
Fixed Point Theory and Applications [electronic only]
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Ben Amar, Afif, Cherif, Mohamed Amine, Mnif, Maher (2011)
International Journal of Mathematics and Mathematical Sciences
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Saint-Pierre, Jean, Valadier, Michel (1994)
Journal of Convex Analysis
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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.
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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Surjit Singh Khurana (2005)
Mathematica Slovaca
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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...
Charles Dunkl, Donald Ramirez (1973)
Studia Mathematica
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