Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem
Mohammad Akram, Mohammad Dilshad, Arvind Kumar Rajpoot, Feeroz Babu, Rais Ahmad, Jen‐Chih Yao
Abstract
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space. We discuss the weak convergence for (SpVIP) and strong convergence for the common solution of (SpVIP) and (FPP) using appropriate assumptions. Some consequences of the proposed methods are studied. We compare our iterative schemes with other existing related schemes.
Topics & Concepts
Hilbert spaceConvergence (economics)Fixed pointIterative methodMathematicsMathematical optimizationApplied mathematicsWeak convergenceSpace (punctuation)Point (geometry)Computer scienceMathematical analysisEconomic growthComputer securityAsset (computer security)EconomicsOperating systemGeometryOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research