Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
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Authors
Abdul Latif
- Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Mohammad Eslamian
- Department of Mathematics, University of Science and Technology of Mazandaran, P. O. Box 48518-78413, Behshahr, Iran.
Abstract
In this paper, we present a new algorithm for the split equality problem for finding a common element of solution of
equilibrium problem, solution of variational inequality problem for monotone and Lipschitz continuous operators, and common
fixed point of nonexpansive semigroups. We establish strong convergence of the algorithm in an infinite dimensional Hilbert
spaces. Our results improve and generalize some recent results in the literature.
Share and Cite
ISRP Style
Abdul Latif, Mohammad Eslamian, Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3217--3230
AMA Style
Latif Abdul, Eslamian Mohammad, Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups. J. Nonlinear Sci. Appl. (2017); 10(6):3217--3230
Chicago/Turabian Style
Latif, Abdul, Eslamian, Mohammad. "Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3217--3230
Keywords
- Split equality problem
- equilibrium problem
- variational inequality
- nonexpansive semigroups
- fixed point.
MSC
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