Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings

Kaleem Raza Kazmi, Mohd Furkan, Rehan Ali

Abstract


This paper deals with a strong convergence theorem for a simultaneous extragradient iterative method to approximate a common solution to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for two countable families of multi-valued demicontractive mappings in real Hilbert spaces. Further, we give a numerical example to justify the main result. The method and results presented in this paper extend and unify some recent known results in the literature.

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How to Cite this Article:

Kaleem Raza Kazmi, Mohd Furkan, Rehan Ali, Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings, Adv. Fixed Point Theory, 9 (2019), 111-134

Copyright © 2019 Kaleem Raza Kazmi, Mohd Furkan, Rehan Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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