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Measures of Noncompactness in Metric Fixed Point Theory (Paperback, Softcover reprint of the original 1st ed. 1997)
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Measures of Noncompactness in Metric Fixed Point Theory (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: Operator Theory: Advances and Applications, 99
Expected to ship within 10 - 15 working days
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What is clear and easy to grasp attracts us; complications deter
David Hilbert The material presented in this volume is based on
discussions conducted in peri odically held seminars by the
Nonlinear Functional Analysis research group of the University of
Seville. This book is mainly addressed to those working or aspiring
to work in the field of measures of noncompactness and metric fixed
point theory. Special em phasis is made on the results in metric
fixed point theory which were derived from geometric coefficients
defined by means of measures of noncompactness and on the
relationships between nonlinear operators which are contractive for
different measures. Several topics in these notes can be found
either in texts on measures of noncompactness (see [AKPRSj, [BG])
or in books on metric fixed point theory (see [GK1], [Sm], [Z]).
Many other topics have come from papers where the authors of this
volume have published the results of their research over the last
ten years. However, as in any work of this type, an effort has been
made to revise many proofs and to place many others in a correct
setting. Our research was made possible by partial support of the
D.G.I.C.y'T. and the Junta de Andalucia.
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