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THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS

조열제|Guang He|Nan-jing Huang
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회보 (Bulletin of the KMS)|제47권 제3호|pp. 455-465

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참고문헌

키워드

partial orderconemixed monotone operatorrelatively weakly compact setcoupled quasi-solutions
주제분류수학

초록

In this paper, by using the semi-order method, two new existence theorems of coupled quasi-solutions for a class of nonlinear operator equations in Banach spaces are proved under some suitable conditions.

Abstract

In this paper, by using the semi-order method, two new existence theorems of coupled quasi-solutions for a class of nonlinear operator equations in Banach spaces are proved under some suitable conditions.

참고문헌 (16)

  1. S. S. Chang, "Iterative Methods for Nonlinear Operator Equations in Banach Spaces" (2002), Nova Science Publishers, Inc.
  2. Y. Q. Chen, "Nonlinear Operator Theory in Abstract Spaces and Applications" (2004), Nova Science Publishers, Inc.
  3. Y. Z. Chen, "Fixed points of T-monotone operators", Nonlinear Anal., 24(8), pp.1281~1287 (1995)
  4. H. G. Duan, "The existence of couple minimal-maximal quasi-solutions for a class of nonlinear operator equations", J. Math. (Wuhan), 25(5), pp.527~532 (2005)
  5. Y. Q. Feng, "Solvability of an operator equation in partial ordered space", Acta Math. Sinica (Chin. Ser.), 46(2), pp.411~416 (2003)
  6. D. J. Guo, "Nonlinear Problems in Abstract Cone" (1988), Academic Press
  7. D. J. Guo, "Coupled fixed points of nonlinear operators with applications", Nonlinear Anal., 11(5), pp.623~632 (1987)
  8. G. He, "Solvability of a new class of mixed monotone operator equations with an application", Nonlinear Anal. Forum, 10(2), pp.145~151 (2005)
  9. N. J. Huang, "Some new existence theorems for nonlinear inclusion with an application", Nonlinear Funct. Anal. Appl., 6(3), pp.341~350 (2001)
  10. X. Y. Liu, "Fixed points of discontinuous weakly compact increasing operators and their applications to initial value problems in Banach spaces", J. Systems Sci. Math. Sci., 20(2), pp.175~180 (2000)
  11. Y. Syau, "Some fixed point theorems of T-monotone operators", J. Math. Anal. Appl., 205(2), pp.325~329 (1997)
  12. S. Y. Xu, "Fixed-point theorems of Á concave-(−Ã) convex mixed monotone operators and applications", J. Math. Anal. Appl., 295(2), pp.645~657 (2004)
  13. X. T. Yu, "Geometric Theory in Banach Spaces" (1986), East China Normal University Press
  14. K. M. Zhang, "The solution of a nonlinear nonmonotone operator equation", Acta Math. Sci. (Chinese), 18(2), pp.164~168 (1998)
  15. K. M. Zhang, "Solution and coupled minimal-maximal quasi-solutions of nonlinear non-monotone operator equations in Banach spaces", J. Math. Res. Exposition, 23(1), pp.47~52 (2003)
  16. Z. Zhou, "Fixed point theorems for mixed monotone operators and their applications", Gaoxiao Yingyong Shuxue Xuebao Ser. A, 12(3), pp.347~352 (1997)

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