Some convergence results for split common and fixed point problems in Hilbert space

L. B. Mohammed; Adem Kilicman; Abba Auwalu

doi:10.62918/hjma.v1i1.5

Authors

L. B. Mohammed Department of Mathematics, Faculty of Science, Federal University Dutse, PMB 7156, Dutse, Jigawa State, Nigeria
Adem Kilicman Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia
Abba Auwalu Department of Mathematical Sciences, Faculty of Natural and Applied Sciences, Sule Lamido University, Kafin-Hausa, PMB 048 Kafin-Hausa, Jigawa State, Nigeria

DOI:

https://doi.org/10.62918/hjma.v1i1.5

Keywords:

Fixed Point, Split Common Fixed Point, Non Linear Mappings, Weak and Strong Convergence, Hilbert Space

Abstract

In this survey article, we present an introduction of split feasibility problems, multisets split feasibility problems and split common fixed point problems. Parallel and cyclic algorithms for solving the split common fixed point problems for finite family of strictly pseudocontractive mappings in Hilbert spaces are presented, weak and strong convergence theorems are being proved. Application of the split common fixed point problems and some numerical examples are also presented.

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