Korean J. Math. Vol. 26 No. 1 (2018) pp.129-141
DOI: https://doi.org/10.11568/kjm.2018.26.1.129

An iterative algorithm for extended generalized nonlinear variational inclusions for random fuzzy mappings

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Published: Mar 27, 2018
Keywords:
Variational inclusion, Random fuzzy mapping, Algorithm, Existence, Convergence
Mathematics Subject Classification:
49J40, 49J52, 90C30

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Aadil Hussain Dar
Department of Mathematics Aligarh Muslim University Aligarh 202002, India
Mohd. Sarfaraz
Department of Mathematics Aligarh Muslim University, Aligarh, India, 202002
Md. Kalimuddin Ahmad
Department of Mathematics Aligarh Muslim University Aligarh 202002, India

Abstract

In this slush pile, we introduce a new kind of variational inclusion problem stated as random extended generalized nonlinear variational inclusions for random fuzzy mappings. We construct an iterative scheme for the this variational inclusion problem and also discuss the existence of random solutions for the problem. Further, we show that the approximate solutions achieved by the generated scheme converge to the required solution of the problem.



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