Volume 2, Issue 2 (12-2021)
MACO 2021, 2(2): 31-44 |
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Abstract: (980 Views)
In this article, we proposed a modified implicit iterative algorithm for approximation of common fixed point of finite families of two uniformly L-Lipschitzian total asymptotically pseudocontractive mappings in Banach spaces. Our new iterative algorithm contains some well known iterative algorithm which has been used by several authors for approximating fixed
points of different classes of mappings. We prove some convergence theorems of our new iterative method and validate our main result with a numerical ex-
ample. Our result is an improvement and generalization of the results of some well known authors in the existing literature.
points of different classes of mappings. We prove some convergence theorems of our new iterative method and validate our main result with a numerical ex-
ample. Our result is an improvement and generalization of the results of some well known authors in the existing literature.
Keywords: Fixed point, implicit iterative algorithm, strong convergence, Banach space, total asymptotically pseudocontractive mapping, normalized duality mapping.
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