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Tytuł artykułu

Some Gregus type common fixed point theorems with applications

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
In this paper a Gregus type common fixed point theorem for coincidently commuting mappings is proved and utilized to obtain the iterative solution of certain variational inequalities.
Wydawca
Rocznik
Strony
413--426
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Department of Mathematics, Kalyan Mahavidyalaya, Bhilai Nagar, 490006, India
autor
  • Department of Mathematics, University of Transkei, Umtata 5117, South Africa
  • Department of Mathematics, University of Fort Hare, Alice 5700, South Africa
Bibliografia
  • [1] S. A. Belbas and I. D. Mayergoyz, Application of fixed point methods, Numer. Math. 51 (1987), 631-654.
  • [2] A. Bensovssan and J. L. Lions, Applications des inequations variational en control stochastic, Paris, Dunod, 1978.
  • [3] A. Bermon and R. J. Plemmons, Nonnegative Matrices in Mathematical Science, Academic Press, New York, 1979.
  • [4] M. L. Diviccaro, B. Fisher and S. Sessa, A common fixed point theorem of Gregus type, Publ. Math. Debrecen 34 (1987), 83-89.
  • [5] G. Duvaut and J. L. Lions, Inequalities in Mechanics and Physics, Springer Verlag, Berlin, 1976.
  • [6] B. Fisher, Common fixed point on a Banach space, Chung Yuan J. 11 (1982), 12-15.
  • [7] B. Fisher and S. Sessa, On a fixed point theorem of Gregus, Internat. J. Math. Math. Sci. 9 (1986), 23-28.
  • [8] M. Gregus, A fixed point theorem in Banach spaces, Boll. Un. Mat. Ital. (5) 17-A (1980), 193-198.
  • [9] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
  • [10] G. Jungck, On a fixed point theorem of Fisher and Sessa, Internat. J. Math. Math. Sci. 13 (1990), 497-500.
  • [11] G. Jungck and B. E. Rhoades, Fixed points for set-valued function without continuity, Indian J. Pure Appl. Math. 29 (3) (1998), 227-238.
  • [12] H. K. Pathak and R. George, A common fixed point theorem of Gregus type for compatible mappings and its applications, Publ. Math. Debrecen 44 (3-4) (1994), 1-9.
  • [13] H. K. Pathak, S. M. Kang, Y. J. Cho and J. S. Jung, Gregus type common fixed point theorems for compatible mappings of type (T) and variational inequalities, Publ. Math. Debrecen 46 (3-4) (1995), 285-289.
  • [14] S. Sessa, On weak commutativity conditions of mappings in fixed point considerations, Publ. Inst. Math. 32 (42) (1982), 149-153.
  • [15] R. S. Varga, Matrix Iterative Analysis, Englewood Cliff, Prentice Hall, N.J., 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0009-0011
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