A new implicit iteration process for approximating common fixed points of $\alpha$-demicontraction semigroup
محورهای موضوعی : Fixed point theory
A. E. Ofem
1
,
D. I. Igbokwe
2
1 - Department of Mathematics, University of Uyo, Uyo, Nigeria
2 - Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria
کلید واژه: fixed point, Banach space, strong convergence, $alpha$-demicontraction semigroup, implicit iteration process,
چکیده مقاله :
It is our purpose in this paper to introduce the concept of $\alpha$-demicontractive semigroup. Also, we construct a new implicit iterative scheme for approximating the common fixed points of $\alpha$-demicontractive semigroup. We prove strong convergence of our new iterative scheme to the common fixed points of $\alpha$-demicontractive semigroup in Banach spaces. Our result is an improvement and generalization of several well known results in the existing literature.
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