Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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FIXED POINT THEOREMS FOR GENERAL CONTRACTIVE MULTIVALUED MAPPINGS

  • 발행 : 2009.01.31
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초록

We prove the existence of common fixed point for multivalued maps satisfying general contractive type conditions.

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참고문헌

  1. R. P. Agarawl, D. O. O'Regan, N. Shahzad, Fixed point theorems for generalized contractive maps of Mei-Keeler type Math. Nachr. 276(2004), 3-12. https://doi.org/10.1002/mana.200310208
  2. J. P. Aubin, J. Siegel, Fixed point and stationary points of dissipative multi-valued maps, Proc. Amer. Math. Soc. 78(1980), 391-398.
  3. A. Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 29(2002), 531-536. https://doi.org/10.1155/S0161171202007524
  4. H. Covitz, S. B. Nadler Jr., Multi-valued contraction mappings in generalized metric spaces, Israel J. Math. 8(1970), 5-11. https://doi.org/10.1007/BF02771543
  5. P. Z. Daffer, H. Kaneko, Fixed points of generalized contractive multi-valued mappings, J. Math. Anal. Appl. 192(1995), 655-666. https://doi.org/10.1006/jmaa.1995.1194
  6. Y. Feng, Fixed point theorems for multi-valued operators in partial ordered spaces, Soochow J. Math. 30(2004), 461-469.
  7. Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317(2006), 103-112. https://doi.org/10.1016/j.jmaa.2005.12.004
  8. N. Mizoguchi, W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric spaces, J. Math. Anal. Appl. 141(1989), 177-188. https://doi.org/10.1016/0022-247X(89)90214-X
  9. S. B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30(1969), 475-478. https://doi.org/10.2140/pjm.1969.30.475
  10. S. V. R. Naidu, Fixed point theorems for a broad class of multimaps, Nonlinear Anal. 52(2003), 961-969 https://doi.org/10.1016/S0362-546X(02)00146-3
  11. A. Petru¸sel, A. Sintamarian, Single-valued and multi-valued Caristi type operators, Publ. Math. Debrecen 60(2002), 167-177.
  12. S. Reich, Some problems and results in fixed point theory, contemp. Math. 21(1983),179-187.
  13. L. Van Hot, Fixed point theorems for multi-valued mapping, Comment. Math. Univ. Carolin. 23(1982), 137-145.
  14. P. Vijayaraju, B. E. Rhoades, R. Mohanraj, A fixed point theorem for a pair of maps satisfying a general contracive condition of integral type, Int. J. Math. Math. Sci. 15(2005), 2359-2364.
  15. T. Wang, Fixed point theorems and fixed point stability for multivalued mappings on metric spaces, J. Nanjing Univ. Math. Baq. 6(1989), 16-23.
  16. C. K. Zhong, J. Zhu, P. H. Zhao, An extention of multivalued contraction mappings and fixed points, Proc. Amer. Math. Soc. 128( 2000), 2439-2444.