Approximation of Solutions of Split Inverse Problem For Multi-valued Demi-Contractive Mappings In Hilbert Spaces

Authors

  • A. Bello Federal University Dutsinma, Katsina State.
  • C. Chidume African University of Sciences and Technology, Abuja.
  • M. Isyaku Federal University Dutsinma, Katsina State.

Abstract

 Let H_{1} and H_{2} be real Hilbert spaces and A_{j} : H_{1} to H_{2}, (1 leq j leq r) be  bounded linear linear operators, U_{i} : H_{1} to 2^{H_{1}}, (1 leq i leq n) and T_{j} : H_{2} to 2^{H_{2}}, (1 leq j leq r) be multi-valued demi-contractive operators.
An iterative scheme is constructed and shown to converge weakly to a solution of generalized split common fixed points problem (GSCFPP). Under additional mild condition, the scheme is shown to converge strongly to a solution of GSCFPP. Moreover, our scheme is of special interest.

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Published

2020-01-10

How to Cite

Bello, A., Chidume, C., & Isyaku, M. (2020). Approximation of Solutions of Split Inverse Problem For Multi-valued Demi-Contractive Mappings In Hilbert Spaces. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 11(1), 15-28. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/519

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Section

Research Article