# Generalized Solutions of Operator Equations and Extreme Elements

Part of the Springer Optimization and Its Applications book series (SOIA, volume 55)

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Part of the Springer Optimization and Its Applications book series (SOIA, volume 55)

The abstract models for many problems in science and engineering take the form of an operator equation; the resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. *Generalized Solutions of Operator Equations and Extreme Elements* presents a general functional analytic approach to solving operator equations in a general form. This unique and valuable monograph presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The results are clearly and thoroughly presented and offer new methods of identifying these solutions and studying their properties. These methods are based on a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations.

- DOI https://doi.org/10.1007/978-1-4614-0619-8
- Copyright Information Springer Science+Business Media, LLC 2012
- Publisher Name Springer, New York, NY
- eBook Packages Mathematics and Statistics
- Print ISBN 978-1-4614-0618-1
- Online ISBN 978-1-4614-0619-8
- Series Print ISSN 1931-6828
- Buy this book on publisher's site