PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Common fixed points of compatible maps of type (beta) on fuzzy metric spaces

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we prove a common fixed point theorem for six mappings under the condition of compatible mappings of type (beta) on fuzzy metric spaces. We extend, generalize and fuzzify several fixed point theorems on metric spaces, Menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces.
Wydawca
Rocznik
Strony
165--174
Opis fizyczny
Bibliogr. 33 poz.
Twórcy
autor
  • Department of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
  • Department of Mathematics, Madhav Science College, Ujjain (M.P.) India
autor
  • Department of Mathematics, Govt. Arts & Science P.G. College, Ratlam (M.P.) India
Bibliografia
  • [1] R. Badard, Fixed point theorems for fuzzy numbers, Fuzzy Sets and Systems 13 (1984), 291-302.
  • [2] S. Banach, Theorie les operations Lineaires, Manografie Matematyczne, (Warsaw, Poland, 1932).
  • [3] D. Butnarin, Fixed points for fuzzy mappings, Fuzzy Sets and Systems 7 (1982), 191-207.
  • [4] Y. J. Cho, Fixed points in fuzzy metric spaces, J. Fuzzy Math. 4 (1997), 949-962.
  • [5] Y. J. Cho, H. K. Pathak, S. M. Kang and J. S. Jung, Common fixed points of compatible maps of type (¡3) on fuzzy metric spaces, Fuzzy Sets and Systems 93 (1998), 99-111.
  • [6] Z. K. Deng, Fuzzy pseudo metric spaces, J. Math. Anal. Appl. 86 (1982), 74-75.
  • [7] M. Edelstein, On fixed and periodic points under contraction mappings, J. London Math. Soc. 37 (1962), 74-79.
  • [8] M. A. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl. 69 (1979), 205-230.
  • [9] J. X. Fang, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 46 (1992),107-113.
  • [10] A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64 (1994), 395-399.
  • [11] M. Grabiec, Fixed points in fuzzy metric space, Fuzzy Sets and Systems 27 (1988), 385-389.
  • [12] K. Iseki, Some applications of Banach type contraction principles, Math. Sem. Notes. Kobe Univ. 4 (1976), 211-214.
  • [13] I. Istratescu, A fixed point theorem for mappings with a probabilistic contractive iterate, Rev. Roumaire. Math. Pure Appl. 26 (1981), 431-435.
  • [14] G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly. 83 (1976), 261-263.
  • [15] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
  • [16] G. Jungck, P. P. Murthy and Y. J. Cho, Compatible mapping of type (a) and common fixed points, Math. Japonica 38 (1993), 381-390.
  • [17] I. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetika, 11 (1975), 336-344.
  • [18] O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 215-229.
  • [19] S. N. Mishra, N. Sharma and S. L. Singh, Common fixed points of maps in fuzzy metric spaces, Internat. J. Math. Math. Sci. 17 (1994), 253-258.
  • [20] H. K. Pathak, Y. J. Cho, S. S. Chang and S. M. Kang, Compatible mappings of type (β), Rev. Res. Univ. Novi Sad., to appear.
  • [21] B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290.
  • [22] B. E. Rhoades, Contractive definitions revisited, Contemp. Math. 21 (1983) 189-205.
  • [23] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.
  • [24] V. M. Sehgal and A. T. Bharucha-Reid, Fixed points of Contraction mappings on probabilistic metric spaces, Math. Systems Theory 6 (1972), 97-102.
  • [25] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) 32 (1982), 49-153.
  • [26] S. Sharma, On fuzzy Mathematics, Fuzzy Sets and Systems, submitted.
  • [27] A. P. Shostak, Two decades of fuzzy topology: basic ideas, notions and results, Russian Math. Surveys 44 (1989), 123-186.
  • [28] S. L. Singh, Some common fixed point theorems in L-spaces, Math. Sem. Notes Kobe Univ. 7 (1979), 91-97.
  • [29] S. L. Singh and S. Kasahara, On some recent results on common fixed points, Indian J. Pure Appl. Math. 13 (1982), 757-761. Corrigendum 14 (1983), 1075.
  • [30] S. L. Singh and B. Ram, Common fixed point of commuting mappings in 2-metric spaces, Math. Sem. Notes Kobe Univ. 10 (1982), 197-208.
  • [31] B. M. L. Tivari and S. L. Singh, A note on recent generalizations of Jungck contraction principle, J. UPGC Soc. 3 (1986), 13-8.
  • [32] M. D. Weiss, Fixed points, Separation and induced topologies for fuzzy sets, J. Math. Anal. Appl. 50 (1975),142-150.
  • [33] L. A. Zadeh, Fuzzy sets, Inform and Control 8 (1965), 338-353.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0042-0019
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.