Strong convergence for generalized multiple-set split feasibility problem | Zendy

Abdul Latif | Zendy; Javad Vahidi | Zendy; Mohammad Eslamian | Zendy

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Strong convergence for generalized multiple-set split feasibility problem

Author(s) -

Abdul Latif,

Javad Vahidi,

Mohammad Eslamian

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1602459l

Subject(s) - mathematics , convergence (economics) , set (abstract data type) , mathematical optimization , calculus (dental) , computer science , economics , programming language , economic growth , medicine , dentistry

In this paper we introduce a new algorithm based on viscosity approximation method for solving the generalized multiple-set split feasibility problem (GMSSFP)in an infinite dimensional Hilbert spaces . We establish the strong convergence for the algorithm to find a unique solution of the variational inequality which is the optimality condition for the minimization problem.

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