Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(2): 333-352

Online first article April 11, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160088

Copyright © The Korean Mathematical Society.

Iterative algorithms for a fuzzy system of random nonlinear equations in Hilbert spaces

Salahuddin

Jazan University, Jazan

Abstract

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In this research work, by using the random resolvent operator techniques associated with random $(A_t,\eta_t,m_t)$-monotone operators, is to established an existence and convergence theorems for a class of fuzzy system of random nonlinear equations with fuzzy mappings in Hilbert spaces. Our results improve and generalized the corresponding results of the recent works.

Keywords: fuzzy system of random nonlinear equations, randomly relaxed cocoercive mappings, random $(A_t,\eta_t, m_t)$-proximal operator equations, measurable mappings, fuzzy mappings, Hilbert spaces

MSC numbers: 49J40, 47H06

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