Numerical Algorithms

, Volume 82, Issue 1, pp 349–369 | Cite as

The Yosida approximation iterative technique for split monotone Yosida variational inclusions

  • Mijanur RahamanEmail author
  • Mohd. Ishtyak
  • Rais Ahmad
  • Imran Ali
Original Paper


In this article, we introduce a new type of split monotone Yosida inclusion problem in the setting of infinite-dimensional Hilbert spaces. To calculate the approximate solutions of split monotone Yosida inclusion problem, first we develop a new iterative algorithm and then study the weak as well strong convergence analysis of iterative sequences generated by the proposed iterative algorithm by using demicontractive property, nonexpansive property, and strongly positive bounded linear property of mappings. A numerical example is formulated to explain our main result through MATLAB programming.


Split monotone Yosida variational inclusions Yosida operator Convergence Demicontractive mapping Nonexpansive mappings 

Mathematics Subject Classification (2010)

47H05 47H09 47J25 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Mijanur Rahaman
    • 1
    Email author
  • Mohd. Ishtyak
    • 1
  • Rais Ahmad
    • 1
  • Imran Ali
    • 1
  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

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