47 Operator theory -- 47H Nonlinear operators and their properties 47H06 Accretive operators, dissipative operators, etc. 47H09 Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Summary: ``In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in Hilbert spaces. We propose an iterative algorithm for finding a common element of the solution of the proximal split feasibility algorithm and fixed point of an $L$- Lipschitz pseudocontractive operator. We demonstrate that the considered algorithm converges strongly to a common point of the investigated problems under some mild conditions.''