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Volume 8, Issue 3, Article 84 |
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The Simultaneous Nonlinear Inequalities Problem and Applications
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Authors: |
Zoran D. Mitrović, |
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Keywords:
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KKM map, Best approximations, Fixed points and coincidences, Variational inequalities, Saddle points. |
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Date Received:
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22/06/07 |
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Date Accepted:
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02/08/07 |
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Subject Codes: |
47J20, 41A50, 54H25.
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Editors: |
Sankatha P. Singh, |
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Abstract: |
In this paper, we prove the existence of a solution to the simultaneous nonlinear inequality problem. As applications, we derive the results on the simultaneous approximations, variational inequalities and saddle points. The results of this paper generalize some known results in the literature.
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