Approximation of common solutions of nonlinear problems involving various classes of mappings

A new iterative scheme is proposed which approximates a common solution of split equality fixed point problems involving η - demimetric mappings, finite family of γ -inverse strongly monotone mappings, finite family of relatively quasi-nonexpansive mappings and finite family of system of generalized...

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Veröffentlicht in:Journal of fixed point theory and applications 2019-03, Vol.21 (1), p.1-29, Article 11
Hauptverfasser: Ofoedu, E. U., Araka, N. N., Madu, L. O.
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Sprache:eng
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Zusammenfassung:A new iterative scheme is proposed which approximates a common solution of split equality fixed point problems involving η - demimetric mappings, finite family of γ -inverse strongly monotone mappings, finite family of relatively quasi-nonexpansive mappings and finite family of system of generalized mixed equilibrium problems in real Banach spaces which are 2-uniformly convex and uniformly smooth. Our theorems extend and complement several existing results in this area of research.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-018-0645-z