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Mixed vector equilibrium-like problems in Banach spaces

이병수|Salahuddin|M. K. Ahmad
영남수학회 (Youngnam Mathematical Society)|2009.12|East Asian Mathematical Journal|제25권 제4호|pp. 505-516

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키워드

Hausdorff metricmixed vector equilibrium-like problemFan-KKM theoremNadler's theorem
주제분류수학

초록

In this paper, we consider a new class of generalized mixed vector equilibrium-like problems in Banach spaces. By using Fan-KKM Theorem and Nadler's Theorem, we prove the existence theorem of solution for this class of generalized mixed vector equilibrium-like problems.

Abstract

In this paper, we consider a new class of generalized mixed vector equilibrium-like problems in Banach spaces. By using Fan-KKM Theorem and Nadler's Theorem, we prove the existence theorem of solution for this class of generalized mixed vector equilibrium-like problems.

참고문헌 (15)

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  10. B. S. Lee, "Generalized vector version of Minty's lemma and applications", Comput. Math. Appl, 45, pp.647~653 (2003)
  11. J. Li, "On implicit vector equilibrium problem", J. Math. Anal. Appl, 283, pp.501~512 (2003)
  12. Jr. S. B. Nadler, "Multi-valued contraction mappings", Paci c J. Math, 30, pp.475~488 (1969)
  13. A. H. Siddiqi, "On vector variational like inequalities", Far East J. Math. Sci, 3(Special), pp.319~329 (1998)
  14. L. C. Zeng, "An existence result for generalized vector equilibrium problem with pseudomonotonicity", Appl. Math. Lett, 19, pp.1320~1326 (2006)
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