THREE TYPES OF VARIATIONAL RELATION PROBLEMS

Mircea Balaj

doi:10.11650/tjm.17.2013.1558

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Home > Journals > Taiwanese J. Math. > Volume 17 > Issue 1 > Article

2013 THREE TYPES OF VARIATIONAL RELATION PROBLEMS

Mircea Balaj

Taiwanese J. Math. 17(1): 47-61 (2013). DOI: 10.11650/tjm.17.2013.1558

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Abstract

Variational relation problems were introduced by Luc in [1] as a general model fora large class of problems in nonlinear analysis and applied mathematics. Since this manner ofapproach provides unied results for several mathematical problems it has been used in manyrecent papers (see [2-9]). In this paper we investigate the existence of solutions for three typesof variational relation problems which encompass several generalized equilibrium problems, variational inequalities and variational inclusions studied in a long list of papers in the eld.