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

Nishu Gupta, Mihai Postolache, Ashish Nandal and Renu Chugh
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Nishu Gupta: Department of Mathematics, Pt NRS Government College, Rohtak 124001, India
Mihai Postolache: Department of General Education, China Medical University, Taichung 40402, Taiwan
Ashish Nandal: Government College, Bhainswal Kalan 131001, India
Renu Chugh: Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, India

Mathematics, 2021, vol. 9, issue 4, 1-19

Abstract: 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.

Keywords: demicontractive operators; iterative algorithm; multiple-sets split common fixed point problem; split equilibrium problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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