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Croatian Operational Research Review, Vol. 16 No. 1, 2025.

Original scientific paper

https://doi.org/10.17535/crorr.2025.0004

New results on system of variational inequalities and fixed point theorem

Ayache Benhadid orcid id orcid.org/0000-0001-7567-2192 ; Department of Mathematics, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria. *
Mahmoud Brahimi ; Department of Mathematics, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria.

* Corresponding author.

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Abstract

In (Croat. Oper. Res. Rev, 13(1), 131-135, (2022).) A. Benhadid showed by a counterexample that a number of publications in the research on the variational inequalities system contains inaccurate results about applying the Lipschitz continuity concept in relation to both the first and second variables during the proof of the main theorem on the part of authors. In this paper, We suggest to applying fixed point theorem to correct the main results of some publications.

Keywords

fixed point problem; relaxed (e1, e2)-cocoercive mappings; variational inequalities system’s with nonlinear mappings

Hrčak ID:

327451

URI

https://hrcak.srce.hr/327451

Publication date:

4.2.2025.

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