| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630273 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
Given a non-self mapping T:A→BT:A→B in the setting of a metric space, this work concentrates on the resolution of the non-linear programming problem of globally minimizing the real valued function x→d(x,Tx)x→d(x,Tx), thereby yielding an optimal approximate solution to the equation Tx=xTx=x. An iterative algorithm is also presented to compute a solution of such problems. As a sequel, it is possible to compute an optimal approximate solution to some non-linear equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Sadiq Basha,