A non operator norm dependent iterative solution of generalized split feasibility problems

Abstract

In this paper, we study the convergence analysis of Generalized Split Feasibility Problem (GSFP) in Hilbert spaces. We introduce a new modified iterative algorithm which does not require any prior knowledge of operator norm for approximating the solution of GSFP and established the strong convergence of sequence generated by our iterative algorithm. The strong convergence result is proved without the prior knowledge of the operator norm.
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