Author(s):
1. Imo Kalu Agwu:
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria
2. Donatus Ikechi Igbokwe:
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria
Abstract:
ln this paper, a new iterative algorithm for finding common elements of the set of fixed points for a finite family of asymptotically quasinonexpansive multivalued mappings and the set of minimizers for a finite family of minimization problem is constructed. Under mild conditions on the control sequences, strong convergence of our algorithm was achieved without necessarily imposing any compactness condition on the space or the operator by using an independent approach. Our results improve, extend and generalize many important results recently announced in current literature.
Page(s):
495-522
Published:
Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 8, Year: 2022
Keywords:
Common fixed point
,
Asymptotically quasinonexpansive multivalued mapping
,
Modified proximal point algorithm
,
Variational inequality
,
Strong convergence
,
Hilbert space
References:
References are not available for this document.
Citations
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