3 research outputs found
On modified Noor iterations for nonlinear equations in Banach spaces
We introduce a new class of nonlinear mappings, the class of asymp-
totically �-hemicontractive mappings in the intermediate sense and approximate
the unique common �xed point of a family of three of these mappings in Banach
spaces. Our results improve and generalize the results of Xue and Fan [Zhiqun
Xue, Ruiqin Fan, Some comments on Noor's iterations in Banach spaces, Applied
Mathematics and Computation 206 (2008) 12-15] which in turn is a correction of
the results of Ra�q [Arif Ra�q, Modified Noor iterations for nonlinear equations
in Banach spaces, Applied Mathematics and Computation 182 (2006) 589-59
Research Article Modified Noor iterations with errors for nonlinear equations in Banach spaces
We introduce a new three step iterative scheme with errors to approximate the unique common fixed point of a family of three strongly pseudocontractive (accretive) mappings on Banach spaces. Our results are generalizations and improvements of results obtained by several authors in literature. In particular, they generalize and improve the results of Mogbademu and Olaleru [A. A. Mogbademu and J. O. Olaleru, Bull
NASA Workshop on Distributed Parameter Modeling and Control of Flexible Aerospace Systems
Although significant advances have been made in modeling and controlling flexible systems, there remains a need for improvements in model accuracy and in control performance. The finite element models of flexible systems are unduly complex and are almost intractable to optimum parameter estimation for refinement using experimental data. Distributed parameter or continuum modeling offers some advantages and some challenges in both modeling and control. Continuum models often result in a significantly reduced number of model parameters, thereby enabling optimum parameter estimation. The dynamic equations of motion of continuum models provide the advantage of allowing the embedding of the control system dynamics, thus forming a complete set of system dynamics. There is also increased insight provided by the continuum model approach