Apurva Kumar Das 1 * and Shailesh Dhar Diwan 2
Author Address :
1 Department of Mathematics, Government Polytechnic, Sukma, Chhattisgarh-494111, India.
2 Department of Mathematics, Government Engineering College, Raipur, Chhattisgarh-492015, India.
A new class of demicontractivity called $alpha$-demicontractivity is introduced by L. Maruster and S. Maruster in which they proved strong convergence theorem using Mann iteration process in Hilbert space. In this paper, we have introduced one step implicit iteration process for $alpha$-demicontractive mapping and proved strong convergence theorem in Hilbert space.
Fixed point, $alpha$-Demicontractive mapping, Strong convergence, Hilbert space, One step implicit iteration.
Article Info :
Received : July 03, 2018; Accepted : November 11, 2018.