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

  • E. U. Ofoedu
  • N. N. Araka
  • L. O. Madu
Article
  • 53 Downloads

Abstract

A new iterative scheme is proposed which approximates a common solution of split equality fixed point problems involving \(\eta -\)demimetric mappings, finite family of \(\gamma \)-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.

Keywords

\(\eta \)-demimetric mappings uniform convex Banach space reflexive Banach space relatively quasi-nonexpansive mappings 

Mathematics Subject Classification

47H06 47H09 47J05 47J25 

Notes

Acknowledgements

The authors would like to thank the Simons Foundation and the coordinators of Simons Foundation for Sub-Sahara Africa Nationals with base at Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana, for providing financial support that helped in carrying out this research. We would also like to thank the reviewers for constructive comments which helped to improve the quality of this paper.

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsNnamdi Azikiwe UniversityAwkaNigeria
  2. 2.Department of MathematicsFederal University of TechnologyOwerriNigeria

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