Search for dissertations about: "fixed point problem"
Showing result 1 - 5 of 78 swedish dissertations containing the words fixed point problem.
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1. Metamathematical fixed points
Abstract : This thesis concerns the concept of metamathematical fixed points. After an introduction, we survey the field of metamathematics, from la fin du siècle to present. We are especially interested in the notion of fixed points, theorems on the existence of various kinds of fixed points, and their applications to metamathematics. READ MORE
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2. Fixed Point Iterations for Finite Sum Monotone Inclusions
Abstract : This thesis studies two families of methods for finding zeros of finite sums of monotone operators, the first being variance-reduced stochastic gradient (VRSG) methods. This is a large family of algorithms that use random sampling to improve the convergence rate compared to more traditional approaches. READ MORE
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3. Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations
Abstract : This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. READ MORE
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4. Urban Travel Time Estimation from Sparse GPS Data : An Efficient and Scalable Approach
Abstract : The use of GPS probes in traffic management is growing rapidly as the required data collection infrastructure is increasingly in place, with significant number of mobile sensors moving around covering expansive areas of the road network. Many travelers carry with them at least one device with a built-in GPS receiver. READ MORE
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5. Fixed points, fractals, iterated function systems and generalized support vector machines
Abstract : In this thesis, fixed point theory is used to construct a fractal type sets and to solve data classification problem. Fixed point method, which is a beautiful mixture of analysis, topology, and geometry has been revealed as a very powerful and important tool in the study of nonlinear phenomena. READ MORE