Research Article

Existence Results for Systems of Quasi-Variational Relations

Volume: 2 Number: 4 December 1, 2019
EN

Existence Results for Systems of Quasi-Variational Relations

Abstract

We study the existence of solutions for a  system of variational relations, in a general form, using a fixed point result for contractions in metric spaces. As a particular case, we give sufficient conditions for the existence of solutions of a system of quasi-equilibrium problems. 

Keywords

References

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  2. [2] M. Balaj: Systems of variational relations with lower semicontinuous set-valued mappings. Carpathian Journal of Mathematics 31 (2015), 269–275.
  3. [3] A. Granas and J. Dugundji: Fixed Point Theory, Springer-Verlag, Berlin, 2003.
  4. [4] D. Inoan: Variational relations problems via fixed points of contraction mappings. Journal of Fixed Point Theory and Applications 19 (2017), 1571–1580.
  5. [5] D. Inoan: Factorization of quasi-variational relations systems. Acta Mathematica Vietnamica 39 (2014), 359-365.
  6. [6] G. Kassay, J. Kolumbán and Z. Páles: Factorization of Minty and Stampacchia variational inequality systems. European J. Oper. Res. 143 (2002), 377-389.
  7. [7] A. Latif and D. T. Luc: Variational relation problems: existence of solutions and fixed points of contraction mappings. Fixed Point Theory and Applications (2013) Article id. 315, 1–10.
  8. [8] L-J. Lin and Q. H. Ansari: Systems of quasi-variational relations with applications. Nonlinear Anal. 72 (2010), 1210– 1220.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2019

Submission Date

November 5, 2019

Acceptance Date

November 23, 2019

Published in Issue

Year 2019 Volume: 2 Number: 4

APA
Inoan, D. (2019). Existence Results for Systems of Quasi-Variational Relations. Constructive Mathematical Analysis, 2(4), 217-222. https://doi.org/10.33205/cma.643397
AMA
1.Inoan D. Existence Results for Systems of Quasi-Variational Relations. CMA. 2019;2(4):217-222. doi:10.33205/cma.643397
Chicago
Inoan, Daniela. 2019. “Existence Results for Systems of Quasi-Variational Relations”. Constructive Mathematical Analysis 2 (4): 217-22. https://doi.org/10.33205/cma.643397.
EndNote
Inoan D (December 1, 2019) Existence Results for Systems of Quasi-Variational Relations. Constructive Mathematical Analysis 2 4 217–222.
IEEE
[1]D. Inoan, “Existence Results for Systems of Quasi-Variational Relations”, CMA, vol. 2, no. 4, pp. 217–222, Dec. 2019, doi: 10.33205/cma.643397.
ISNAD
Inoan, Daniela. “Existence Results for Systems of Quasi-Variational Relations”. Constructive Mathematical Analysis 2/4 (December 1, 2019): 217-222. https://doi.org/10.33205/cma.643397.
JAMA
1.Inoan D. Existence Results for Systems of Quasi-Variational Relations. CMA. 2019;2:217–222.
MLA
Inoan, Daniela. “Existence Results for Systems of Quasi-Variational Relations”. Constructive Mathematical Analysis, vol. 2, no. 4, Dec. 2019, pp. 217-22, doi:10.33205/cma.643397.
Vancouver
1.Daniela Inoan. Existence Results for Systems of Quasi-Variational Relations. CMA. 2019 Dec. 1;2(4):217-22. doi:10.33205/cma.643397

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