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Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
(Hindawi Publishing Corporation, 2009)
In recent literature concerning fixed point theory for self-mappings T : X -> X in metric spaces (X,d), there are some new concepts which can be mutually related so that the inherent properties of each one might be combined ...
About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory
(Hindawi Publishing Corporation, 2008)
This paper investigates the global asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point theory. The error ...
Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme
(Hindawi Publishing Corporation, 2009)
A generalization of Halpern's iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous ...
Geometric multiplicity margin for a submatrix
(Elsevier, 2002-07)
Let G be a square complex matrix with less than k nonconstant invariant factors. We find a complex matrix that gives an optimal approximation to G among all possible matrices that have more than or equal to k invariant ...