U. Rafat

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Articles: 1

Pair of Iterative algorithm for solving split inclusion problem associated to Cayley's operator in Hilbert spaces

MFAT 30 (2024), no. 3-4, 155-173

155-173

The aspiration of the article is to find a solution of split inclusion problem associated to Cayley operator $\mathsf{C}^{\mathsf{M}}_{\lambda}$ in the framework of real Hilbert space and we employ a classical approach to develop an iterative algorithm for solving this particular inclusion problem. Under few reliable conditions, we state and prove a weak/strong convergence theorem for the proposed algorithm. In addition, we also present an application to the split feasibility problem and illustrate a numerical example in order to show that the algorithm we proposed is efficient and feasible.

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