Vol. 20(2019) No. 1

 

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  Common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a split equality fixed point problem
 
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Fixed Point Theory, Volume 20, No. 1, 2019, 211-232, February 1st, 2019

DOI: 10.24193/fpt-ro.2019.1.14

Authors: K.R. Kazmi, Rehan Ali and Mohd Furkan

Abstract: This paper deals with a strong convergence theorem for an iterative method for approximating a common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a split equality fixed point problem for quasi-nonexpansive mappings in real Hilbert spaces. Some consequences are derived from the main result. Finally, we give a numerical example to justify the main result. The main result extends and unifies some recent known results in the literature.

Key Words and Phrases: Split equality monotone variational inclusion problem, split equality generalized general variational-like inequality problem, split equality fixed point problem, iterative method.

2010 Mathematics Subject Classification: 47H09, 47J05, 47J25, 49J40.

Published on-line: February 1st, 2019.

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