A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM
Chanchal Garodia, Izhar Uddin
Abstract
In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms for contractive-like mappings. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of generalized $\alpha$-nonexpansive mappings. Again we reconfirm our results by an example and table. Further, we utilize our proposed algorithm to solve split feasibility problem.
Topics & Concepts
Iterative methodMathematicsConvergence (economics)Mathematical optimizationAlgorithmTable (database)Fixed pointApplied mathematicsComputer scienceMathematical analysisData miningEconomic growthEconomicsOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research