Implicit Iteration Process for Lipschitzian α-Hemicontraction Semigroups
Keywords:
Banach space, Fixed point, Implicit iteration process, Strong convergence, Weak convergence, $\alpha$-demicontraction semigroup, $\alpha$-hemicontraction semigroup, Normal duality mappingAbstract
In the paper, the concept of α-demicontractive semigroup and α-hemicontractive semigroup is introduced. We study the strong and weak convergence of an implicit iterative scheme to the common fixed points of Lipschitzian α-hemicontractive semigroup. The result presented in this paper extend, generalize, improve and unify the results of several well known authors.
in the literature.
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