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Co-ordinatewise R-weakly commuting maps and fixed point theorem on product spaces

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Języki publikacji
EN
Abstrakty
EN
In this paper we establish a fixed point theorem for two systems of maps on finite product of Banach spaces by introducing co-ordinatewise R-weakly commuting maps. Our result includes fixed point theorem of Gregus [7], Fisher-Sessa [4], Jungck [9] and Singh et al. [21].
Wydawca
Rocznik
Strony
939--949
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
  • Department of Mathematics, Pauri Campus of H. N. B., Garhwal University, Pauri Garhwal 246001, India
  • Department of Mathematics, Govt. P. G. College Augustymuni, Rudraprayag 246421, India
Bibliografia
  • [1] J. B. Baillon, S. L. Singh, Nonlinear hybrid contraction on product spaces, Far East J. Math. Sci. 1 (2) (1993), 117-127.
  • [2] S. Czerwik, Generalization of Edelstein's fixed point theorem, Demonstratio Math. 9 (1976), 281-285.
  • [3] S. Czerwik, A fixed point theorem for a system of multivalued transformations, Proc. Amer. Math. Soc., 55 (1976), 136-139.
  • [4] B. Fisher, S. Sessa, On a fixed point theorem of Gregus, Internat. J. Math. & Math. Sci. 9 (1) (1986), 23-28.
  • [5] U. C. Gairola, S. L. Singh, J. H. M. Whitfield, Fixed point theorems on product of compact metric spaces, Demonstratio Math. 28 (1995), 541-548.
  • [6] U. C. Gairola, S. N. Mishra and S. L. Singh, Coincidence and fixed point theorems on product spaces, Demonstratio Math. 30 (1997), 15-24.
  • [7] M. Gregus, Jr., A fixed point theorem in Banach space, Boll. Un. Ital. (5) 17-A (1980), 193-198.
  • [8] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. &: Math. Sci. 9 (4) (1986), 771-779.
  • [9] G. Jungck, On a fixed point theorem of Fisher and Sessa, Internat. J. Math. & Math. Sei. 13 (3) (1990), 457-500.
  • [10] W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72 (1965), 1004-1006.
  • [11] J. Matkowski, Some inequalities and a generalization of Banach's Principle, Bull. Acad. Polon. Sei., Ser. Sci. Math. Astronom. Phys. 21 (1973), 323-325.
  • [12] J. Matkowski, Integrable solutions of functional equation, Dissertations Mat. Vol. CXXVII (Rozprawy) Warszawa, 1975.
  • [13] J. Matkowski, S. L. Singh, Banach type fixed point theorems on product of spaces, Indian J. Math. 38 (1) (1996), 73-80.
  • [14] R. P. Pant, Common fixed points of non commuting mappings, J. Math. Anal. Appl. 188 (2) (1994), 436-440.
  • [15] R. P. Pant, Non compatible mappings and common fixed points, Soochow Math. 26 (1) (2000), 29-35.
  • [16] K. B. Reddy, P. V. Subrahmanyam, Extensions of Krasnoselskii's and Matkowski's fixed point theorems, Funcial. Ekv. 24 (1981), 64-83.
  • [17] K. B. Reddy, P. V. Subrahmanyam, Altman's contractions and Matkowski's fixed point theorem, Nonlinear Analysis (1981), 1061-1075.
  • [18] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) 32 (46) (1982), 149-153.
  • [19] S. L. Singh, S. N. Mishra and V. Chadha, Round-off stability of iteration on product space, C. R. Math. Rep. Acad. Sci. Canada, XVI No-3 (1994), 105-110.
  • [20] S. L. Singh, U. C. Gairola, A general fixed point theorem, Math. Japon. 36 (1991), 791-801.
  • [21] S. L. Singh, U. C. Gairola and B. D. Pant, A fixed point theorem on product spaces (Preprint).
  • [22] S. L. Singh, C. Kulshrestha, A common fixed point theorem for two systems of transformations, Pusan. Kyo. Math. J. 2 (1986), 1-8.
  • [23] B. M. L. Tiwari, S. L. Singh, A note on recent generalizations of Jungck contraction principle, J. UPGC. Acad. Soc. 3 (1986), 13-18.
  • [24] C. S. Wong, On Khannan maps, Proc. Amer. Math. Soc. 47 (1975), 105-111.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0008-0017
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