A novel approach for convergence and stability of Jungck-Kirk-Type algorithms for common fixed point problems in Hilbert spaces
نویسندگان
1 Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria
2 Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria
doi
10.22075/ijnaa.2021.23396.2530چکیده
In this paper, two novel iteration algorithms called Jungck-DI-Noor-multistep and Jungck-DI-SP-multistep iterative schemes are introduced and studied. Using their strong convergence, a common fixed point of nonself mappings was achieved without any imposition of 'sum conditions' on the control sequences. Further, we studied and proved the stability results of our new iterative schemes in the setting of a real Hilbert space. Our results improve, generalize and unify several known results currently in the literature.
