A new implicit iteration process for approximating common fixed points of $\alpha$-demicontraction semigroup

Journal of Linear and Topological Algebra

دوره 10، شماره 01، خرداد 2021، صفحه 19-34   

نوع مقاله: Research Paper

نویسندگان

A. E. Ofem^{* 1}؛ D. I. Igbokwe²

¹Department of Mathematics, University of Uyo, Uyo, Nigeria

²Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria

چکیده

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.

کلیدواژه‌ها

Fixed point؛ Banach space؛ $alpha$-demicontraction semigroup؛ implicit iteration process؛ strong convergence

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