A new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problem

摘要: In this article, we first propose an extended split equality problem which is extension of the convex feasibility problem, and then introduce a parameter w to establish fixed point equation system. We show equivalence Based on system, present simultaneous iterative algorithm obtain weak convergence proposed algorithm. Further, by introducing concept G-mapping finite family strictly pseudononspreading mappings $\{T_{i}\}_{i = 1}^{N}$ , consider for G-mappings give with way selecting stepsizes do not need any prior information about operator norms, obtained. apply our algorithms some nonlinear problems. Finally, several numerical results are shown confirm efficiency algorithms.