Title of article :
A new implicit iteration process for approximating common fixed points of α-demicontraction semigroup
Author/Authors :
Ofem ، A. E. Department of Mathematics - University of Uyo , Igbokwe ، D. I. Department of Mathematics - Michael Okpara University of Agriculture
Abstract :
It is our purpose in this paper to introduce the concept of α-demicontractive semigroup. Also, we construct a new implicit iterative scheme for approximating the common fixed points of α-demicontractive semigroup. We prove strong convergence of our new iterative scheme to the common fixed points of α-demicontractive semigroup in Banach spaces. Our result is an improvement and generalization of several well known results in the existing literature.
Keywords :
Fixed point , Banach space , implicit iteration process , α , demicontraction semigroup , strong convergence
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
