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Fixed points of asymptotically regular noncompatible maps

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The concept of R-weakly commutativity of type A for single-valued mapping is extended to multivalued mappings. The structure of common fixed points and coincidence points of a pair of R-weakly commuting multivalued mappings of type A is also discussed.
Wydawca
Rocznik
Strony
485--494
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • School of Mathematics, The University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
Bibliografia
  • [1] N. A. Assad and W. A. Kirk, Fixed point theorems for setvalued mappings of contractive type, Pacific J. Math. 43 (1972), 553-562.
  • [2] I. Beg and A. Azam, Fixed points of asymptotically reguler multivalued mappings, J. Austral. Math. Soc. (series A), 53 (1992), 313-326.
  • [3] T. Hu, Fixed point theorems for multivalued mappings, Canad. Math. Bull. 23 (1980), 193-197.
  • [4] G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly 83 (1976), 261-263.
  • [5] G. Jungck, Compatiable mappings and common fixed points, Internat. J. Math. and Math. Sci. 11 (1986), 771-779.
  • [6] G. Jungck, Common fixed points for commuting and compatible maps on compacta, Pro. Amer. Math. Soc. 103 (1988), 977-983.
  • [7] H. Kaneko, Single valued and multivalued f-contractions, Boll. U. M. I. 4A (1985), 29-33.
  • [8] H. Kaneko and S. Sessa, Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math and Math. Sci. 12 (1989), 257-262.
  • [9] A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326-329.
  • [10] N. Mizoguchi and W. Takahashi, Fixed point theorems for multivalued mappings on complete metric space, J. Math. Anal. Appl. 141 (1989), 177-188.
  • [11] S. B. Nadler, Jr., Multivalued contraction mappings, Pacific, J. Math. 30 (1969), 475-488.
  • [12] R. P. Pant , Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
  • [13] R. P. Pant, Common fixed points of Lipschitz type mapping pairs, J. Math. Anal. Appl. 240 (1999), 280-283.
  • [14] R. P. Pant, Discontinuity and fixed points, J. Math. Anal. Appl. 240 (1999), 284-289.
  • [15] H. K. Pathak, Y. J. Cho and Kang, Remarks on R-weak commuting mapping and common fixed point theorems, Bull. Korean Math. Soc. 34 (1997), 247-257.
  • [16] R. A. Rashwan, A coincidence theorem for contractive type multivalued mappings, J. Egyp. Math. Soc. 5 (1997), 47-55.
  • [17] S. Reich, Fixed points of contractive functions, Boll. U. M. I. (4), 5 (1972), 26-42.
  • [18] B. E. Rhoades, S. Park, and K. B. Moon, On generalizations of the Meir Keeler type contraction maps, J. Math. Anal. Appl. 146 (1990), 482-494.
  • [19] N. Shahzad, Invariant approximation and R-subweakly commuting maps, J. Math. Anal. Appl. 257 (2001), 39-45.
  • [20] N. Shahzad, Coincidence points and R-subweakly commuting multivalued maps, Demonstratio Math. 36 (2003), 427-431.
  • [21] S. L. Singh, K. S. Ha and Y. J. Cho, Coincidence and fixed points of nonlinear hybrid contractions, Internat. J. Math. Math. Sci. 12 (1989), 247-256.
  • [22] H. K. Xu, ϵ-Chainability and fixed points of setvalued mappings in complete metric space, Math. Japonica 39 (1994), 353-356.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0013-0021
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