4.6 Article

Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem

Journal

AIMS MATHEMATICS
Volume 7, Issue 5, Pages 9325-9338

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022517

Keywords

variational inequality; equilibrium problem; fixed point; split variational inequality; split equilibrium problem

Funding

  1. CSIR PUSA Delhi [09/382 (0187) /2017-EMR-I]

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This manuscript extends the recent work of Lohawech et al. by working on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. The authors propose a sequence that converges weakly to the common solution of all the three problems mentioned earlier and provide some direct consequences of the main result.
The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of Lohawech et al. We proposed a sequence that converges weakly to the common solution of all the three problems mentioned earlier. In the end, we supply some direct consequences of the main result, as the paper is an extension of various existing results.

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