PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
Tytuł artykułu

Common fixed point results for six maps on cone metric spaces with some weaker conditions

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The existence of coincidence points and common fixed points for six mappings satisfying certain contractive conditions without exploiting the notion of continuity in cone metric spaces is established. Our results generalize, improve and extend several well known comparable results in the literature.
Rocznik
Tom
Strony
33--43
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
Bibliografia
  • [1] Abbas M., Jungck G., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341(2008), 416-420.
  • [2] Aliprantis C.D., Tourky R., Cones and Duality, vol. 84 of Graduate Studies in mathematics, American Mathematical Society, Providence, RI, USA, 2007.
  • [3] Arshad M., Azam A., Verto P., Some common fixed point results in cone metric spaces, Fixed Point Theory and Applications Volume 2009, Article ID 493965 11 pages.
  • [4] Beg I., Abbas M., Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory Appl., (2006), 1-7, Article ID 74503.
  • [5] Cakic N., Kadelbarg Z., Rajani A., Common fixed point results in cone metric spaces for family of weakly compatible maps, Advances and Application in Mathematical Sciences, 1(2009), 183-207.
  • [6] Long-Guang H., Xian Z., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007), 1468-1476.
  • [7] Ilic D., Rakocevic V., Common fixed point for maps on cone metric space, J. Math. Anal. Appl., 341(2)(2008), 876-882.
  • [8] Ilic D., Rakocevic V., Quasi contraction on a cone metric space, Applied Mathematics Letters, 22(5)(2009), 728-731.
  • [9] Jungck G., Commuting maps and fixed points, Amer. Math. Monthly, 83(1976), 261-263.
  • [10] Jungck G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., (1986), 771-779.
  • [11] Jungck G., Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc., 103(1988), 977-983.
  • [12] Jungck G., Rhoades B.E., Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29(3)(1998), 227-238.
  • [13] Jungck G., Radenovic S., Radojevic S., Rakocevic V., Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory and Applications, Volume 2009, article ID 643840, 13 pages.
  • [14] Kadelburg Z. et al., Remarks on quasi-contraction on metric spaces, Appl. Math. Lett., (2009), (in press).
  • [15] Kannan R., Some results on fixed points, Bull. Calcutta Math. Soc., 60(1968), 71- 76.
  • [16] Mohebi H., ”Topical functions and their properties in a class of ordered Banach spaces”, in continuous optimization, Applied Optimization, 99(2005), 343-361.
  • [17] Pant R.P., Common fixed points of noncommuting mappings, J. Math. Anal. Appl., 188(1994), 436-440.
  • [18] Raja P., Vaezpour S.M., Some extensions of Banach’s contraction principle in complete cone metric spaces, Fixed Point Theory and Applications, Article ID 768294, 11 pages, 2008.
  • [19] Rezapour Sh., A review on topological properties of cone metric spaces, in Analysis, Topology and Applications (ATA 08), Vrnjacka Banja, Serbia, May-June 2008.
  • [20] Rezapour Sh., Hamlbarani R., Some notes on the paper ”Cone metric spaces and fixed theorems of contractive mappings, Journal of Mathematical Analysis and Applications, 345(2)(2008), 719-724.
  • [21] Rhoades B.E., A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 26(1977), 257-290.
  • [22] Sessa S., On a weak commutative condition in fixed point consideration, Publ. Inst. Math. Soc., 32(1982), 149-153.
  • [23] Sharma S., Deshpande B., Fixed point theorem for weakly compatible mappings and its applications to best approximation theory, J. Indian Math. Soc., 69(2002), 1- 11.
  • [24] Sharma S., Deshpande B., Discontinuity and weak compatibility in fixed point consideration of Gregus type in convex metric spaces, Fasc. Math., 36(2005), 91-101.
  • [25] Sharma S., Deshpande B., Fixed point for noncompatible discontinuous mappings and best approximation, East Asian Mathematical Journal, 24(2)(2008), 169-176.
  • [26] Wong Y.C., Ng K.F., Partially Ordered Topological Vector Spaces, Oxford Mathematical Monograph, Clarendon Press, Oxford, UK, 1973.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0064
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.