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Weak contraction mappings in Saks spaces

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The intent of this note is to prove some fixed point and common fixed theorems in a Saks spaces by introducing a weaker inequality analogue to Albert and Delabriere [1]. We have also introduced a control functions which is certainly weaker contraction condition available in the literature of Metric Fixed Point Theory and Applications.
Rocznik
Tom
Strony
83--95
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya, Bilaspur (C.G.) (A Central University) 495 009, India
autor
  • Department of Mathematics and Computer Science Cankaya University Ankara, Turkey
  • Department of Mathematics Bengal Engineering and Science University Shibpur, P.O. B.Garden, Howrah
Bibliografia
  • [1] Alber Ya.I., Guerre-Delabriere S., Principles of weakly contractive maps in Hilbert spaces, in: I. Gohberg, Yu. Lyubich(Eds.), New Results in Operator Theory, in: Advances and Appl., 98, Birkhiiser, Basel, 1997, 7-22.
  • [2] Aryanitakis A.D., A proof of the generalized Banach contraction conjecture, Proc. of the Amer. Math. Soc., 131(12)(2003), 3647-3656.
  • [3] Babu G.V.R., Lalitha B., Sandhya M.L., Common fixed point theorems involving two generalized altering distance functions in four variables, Proc. Jangjeon Math. Soc., 10(1)(2007), 83-93.
  • [4] Boyd D.W., Wong J.S.W., On nonlinear contractions, Proc. Amer. Math. Soc., 20(1969), 458-464.
  • [5] Beg I., Abbas M., Coincidence point and invariant approximation for map¬pings satisfying generalized weak contractive condition, Fixed Point Theory and Applications, 2006. Article ID 74503, 7 pages.
  • [6] Chidume C.E., Zegeye H., Aneke S.J., Approximation of fixed points of weakly contractive nonself maps in Banach spaces, J. Math. Anal. Appl., 270(1)(2002), 189-199.
  • [7] Choudhury B.S., Dutta P.N., A unified fixed point result in metric spaces involving a two variable function, Filomat, 14(2000), 43-48.
  • [8] Choudhury B.S., A common unique fixed point result in metric spaces involving generalized altering distances, Mathematical Communications, 10 (2005), 105-110.
  • [9] Choudhury B.S., Dutta P.N., Common fixed points for fuzzy mappings using generalized altering distances, Soochow J. Math., 31(1)(2005), 71-81.
  • [10] Choudhury B.S., Das K., A new contraction principle in Menger spaces, Acta Mathematica Sinica, 24(8)(2008), 1379-1386.
  • [11] Choudhury B.S., Das K., Dutta P.N., A fixed point result in Menger spaces using a real function, Acta Math. Hungar., 122(3)(2009), 203-216.
  • [12] Choudhury B.S., Das K., A coincidence point result in Menger space using a control function, Chaos, Solitons and Fractals, 42(2009) 3058-3063.
  • [13] Dutta P.N., Choudhury B.S., A Generalisation of Contraction Principle in Metric Spaces, Fixed Point Theory and Applications, (2008), Article ID 406368, 8 pages.
  • [14] Ilic D., Rakocevic V., Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341(2008), 876-882.
  • [15] Khan M.S., Swaleh M., Sessa S., Fixed points theorems by altering dis¬tances between the points, Bull. Austral. Math. Soc., 30(1984), 1-9.
  • [16] Merryfield J., Rothschild B., Stein J.D., An application of Ramsey’s theorem to the Banach contraction principle, Proceedings of the American Mathematical Society, 130(4)(2002), 927-933.
  • [17] Naidu S.V.R., Some fixed point theorems in Metric spaces by altering distances, Czechoslovak Mathematical Journal, 53(1)(2003), 205-212.
  • [18] Rhoades B.E., Some theorems on weakly contractive maps, Nonlinear Analysis: Theory, Methods and Application, 47(4)(200l), 2683-2693.
  • [19] Sastry K.P.R., Babu G.V.R, Some fixed point theorems by altering distances between the points, Ind. J. Pure. Appl. Math., 30(6)(1999), 641-647.
  • [20] Sastry K.P.R., Naidu S.V.R., Babu G.V.R., Naidu G.A., Generalization of common fixed point theorems for weakly commuting map by altering distances, Tamkang Jr. Math, 31(3)(2000), 243-250.
  • [21] Song Y., Coincidence points for noncommuting /-weakly contractive mappings, Int. J. Comput. Appl. Math., (IJCAM), 2(1)(2007), 51-57.
  • [22] Suzuki T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Soc., 136(2008) 1861-1869.
  • [23] Zhang Q., Song Y., Fixed point theory for generalized ϕ - weak contractions, Applied Mathematics Letters, 22(1)(2009), 75-78.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f47e7905-0bea-419c-ae8c-be75bb68414a
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