Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.6.2022.3.07

Volume 6, Issue 3, 1 June 2022, Pages 255-277

 

Abstract. The purpose of this paper is to introduce a new three-step iteration procedure for fixed points of generalized hybrid operators. Weak and strong convergence results are obtained. The stability and the data dependence are also obtained for quasi-strictly contractive operators. The split feasibility problem, the problem of maximizing the modulus of a complex polynomial, and the reconstruction of signals using the compressive sensing technique are numerically addressed. Examples are presented to show the efficiency of the iteration procedure.

 

How to Cite this Article:
G.I. Usurelu, M. Postolache, Algorithm for generalized hybrid operators with numerical analysis and applications, J. Nonlinear Var. Anal. 6 (2022), 255-277.