A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm

A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm

The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive operators without prior knowledge of operator norm....

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Main Authors: Nishu Gupta, Mihai Postolache, Ashish Nandal, Renu Chugh
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Mathematics
Subjects:
demicontractive operators
iterative algorithm
multiple-sets split common fixed point problem
split equilibrium problem
Online Access:https://www.mdpi.com/2227-7390/9/4/372
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spelling doaj-ce242ff2e0c54740a865fde0ca6404182021-02-14T00:00:34ZengMDPI AGMathematics2227-73902021-02-01937237210.3390/math9040372A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator NormNishu Gupta0Mihai Postolache1Ashish Nandal2Renu Chugh3Department of Mathematics, Pt NRS Government College, Rohtak 124001, IndiaDepartment of General Education, China Medical University, Taichung 40402, TaiwanGovernment College, Bhainswal Kalan 131001, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak 124001, IndiaThe aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive operators without prior knowledge of operator norm. Significance and range of applicability of our algorithm has been shown by solving the problem of multiple-sets split common null point, multiple-sets split feasibility, multiple-sets split variational inequality, multiple-sets split equilibrium and multiple-sets split monotone variational inclusion.https://www.mdpi.com/2227-7390/9/4/372demicontractive operatorsiterative algorithmmultiple-sets split common fixed point problemsplit equilibrium problem
collection DOAJ
language English
format Article
sources DOAJ
author Nishu Gupta
Mihai Postolache
Ashish Nandal
Renu Chugh
spellingShingle Nishu Gupta
Mihai Postolache
Ashish Nandal
Renu Chugh
A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
Mathematics
demicontractive operators
iterative algorithm
multiple-sets split common fixed point problem
split equilibrium problem
author_facet Nishu Gupta
Mihai Postolache
Ashish Nandal
Renu Chugh
author_sort Nishu Gupta
title A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
title_short A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
title_full A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
title_fullStr A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
title_full_unstemmed A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
title_sort cyclic iterative algorithm for multiple-sets split common fixed point problem of demicontractive mappings without prior knowledge of operator norm
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-02-01
description The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive operators without prior knowledge of operator norm. Significance and range of applicability of our algorithm has been shown by solving the problem of multiple-sets split common null point, multiple-sets split feasibility, multiple-sets split variational inequality, multiple-sets split equilibrium and multiple-sets split monotone variational inclusion.
topic demicontractive operators
iterative algorithm
multiple-sets split common fixed point problem
split equilibrium problem
url https://www.mdpi.com/2227-7390/9/4/372
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AT mihaipostolache acycliciterativealgorithmformultiplesetssplitcommonfixedpointproblemofdemicontractivemappingswithoutpriorknowledgeofoperatornorm
AT ashishnandal acycliciterativealgorithmformultiplesetssplitcommonfixedpointproblemofdemicontractivemappingswithoutpriorknowledgeofoperatornorm
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