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http://dx.doi.org/10.22771/nfaa.2020.26.04.05

A RANDOM GENERALIZED NONLINEAR IMPLICIT VARIATIONAL-LIKE INCLUSION WITH RANDOM FUZZY MAPPINGS  

Khan, F.A. (Department of Mathematics, University of Tabuk)
Aljohani, A.S. (Department of Mathematics, University of Tabuk)
Alshehri, M.G. (Department of Mathematics, University of Tabuk)
Ali, J. (Department of Mathematics, Aligarh Muslim University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.4, 2021 , pp. 717-731 More about this Journal
Abstract
In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.
Keywords
Random generalized nonlinear implicit variational-like inclusion; random fuzzy mappings; iterative scheme; fixed point formulation; proximal mapping technique;
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