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Khan, Faizan Ahmad; Aljohani, Eid Musallam; Ali, Javid

Iterative algorithm for random generalized nonlinear mixed variational inclusions with random fuzzy mappings. (English) Zbl 07635262

Nonlinear Funct. Anal. Appl. 27, No. 4, 881-894 (2022).
Summary: In this paper, we consider a class of random generalized nonlinear mixed variational inclusions with random fuzzy mappings and random relaxed cocoercive mappings inreal Hilbert spaces. We suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions. Further, we discuss the convergence analysis of the iterative algorithm under some appropriate conditions. Our results can be viewed as a refinement and improvement of some known results in the literature.

MSC:

47H06 Nonlinear accretive operators, dissipative operators, etc.
47H10 Fixed-point theorems
49J40 Variational inequalities

Keywords:

random generalized nonlinear mixed variational inclusions; random fuzzy mappings; random relaxed cocoercive mappings; resolvent operator; iterative algorithm
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References:

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