On a class of multi-valued vector fields in Banach spaces
J. Bryszewski (1977)
Fundamenta Mathematicae
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Displaying similar documents to “A Kakutani type coincidence theorem”
On a class of multi-valued vector fields in Banach spaces
Topology and non-linear functional equations
Felix Browder (1968)
Studia Mathematica
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Some elementary applications of topological degree.
Pavel, Dan Gabriel (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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The Brouwer-Jordan theorem
H. Kulpa (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Merging of degree and index theory.
Väth, Martin (2006)
Fixed Point Theory and Applications [electronic only]
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On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.
Benkafadar, N.M., Gel'man, B.D. (1996)
Abstract and Applied Analysis
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Multi-valued maps of subsets of Euclidean spaces
J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Open maps between Knaster continua
Carl Eberhart, J. Fugate, Shannon Schumann (1999)
Fundamenta Mathematicae
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We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
Sharper ABC-based bounds for congruent polynomials
Daniel J. Bernstein (2005)
Journal de Théorie des Nombres de Bordeaux
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Agrawal, Kayal, and Saxena recently introduced a new method of proving that an integer is prime. The speed of the Agrawal-Kayal-Saxena method depends on proven lower bounds for the size of the multiplicative semigroup generated by several polynomials modulo another polynomial . Voloch pointed out an application of the Stothers-Mason ABC theorem in this context: under mild assumptions, distinct polynomials of degree at most cannot all be congruent modulo . This paper presents two...