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Abstrakty
In the present paper, we extend the concept of Weak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T, f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literature.
Wydawca
Czasopismo
Rocznik
Tom
Strony
704--713
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
- Department of Mathematics, D.S.B. Campus Kumaun University Nainital
autor
- Department of Mathematics, D.S.B. Campus Kumaun University Nainital
autor
- Department of Mathematics, D.S.B. Campus Kumaun University Nainital
Bibliografia
- [1] N. Al-Thagafi, N. Shahzad, Generalized I-nonexapansive self maps and invariant approximations, Acta. Math. Sinica 24 (2008), 867–876.
- [2] M. Chandra, S. N. Mishra, S. L. Singh, B. E. Rhoades, Coincidence and fixed points of nonexapansive type multi-valued and single-valued maps, Indian J. Pure Appl. Math. 26(5) (1995), 393–401.
- [3] Lj. B. Ciric, On some nonexpansive type mappings and fixed points, Indian J. Pure Appl. Math. 24 (1993), 145–149.
- [4] G. Jungck, Compatible mappings and common fixed point, Int. J. Math. Math. Sci. 9(4) (1986), 771–779.
- [5] T. Kamran, Fixed points of asymptotically regular noncompatible maps, Demonstrato Math. 38(2) (2005), 485–494.
- [6] H. Kaneko, A common fixed point of weakly commuting multivalued mappings, Math. Japon. 33(5) (1988), 741–744.
- [7] H. Kaneko, S. Sessa, Fixed point for compatible multivalued and single-valued mappings, Int. J. Math. Math. Sci. 12(2) (1989), 257–262.
- [8] R. P. Pant, Common fixed point theorems for contractive maps, J. Math. Anal. Appl. 226 (1998), 251–258.
- [9] R. P. Pant, Common fixed points of non-commuting mappings, J. Math. Anal. Appl. 188 (1994), 436–440.
- [10] R. P. Pant, R. K. Bisht, D. Arora, Weak reciprocal continuity and fixed points theorems, Ann. Univ. Ferrara 57 (2011), 181–190.
- [11] H. K. Pathak, Y. J. Cho, S. M. Kang, Remarks on R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 34 (1997), 247–257.
- [12] B. E. Rhoades, Comparison of various definition of contractive mappings, Trans. Amer. Math. Soc. 226 (1977).
- [13] B. E. Rhoades, S. L. Singh, C. Kulshrestha, Coincidence theorem for some multivalued mappings, Int. J. Math. Math. Sci. 7 (1984), 429–434.
- [14] S. Sessa, On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math. 32 (1982), 129–153.
- [15] N. Shahzad, T. Kamran, Coincidence points and R-weakly commuting maps, Arch. Math. (Brno) 37 (2001), 179–183.
- [16] S. L. Singh, S. N. Mishra, Coincidence and fixed points of non-self hybrid contraction, J. Math. Anal. Appl. 256 (2001), 486–497.
- [17] S. L. Singh, S. N. Mishra, Coincidence and fixed points of reciprocally continuous and compatible hybrid maps, Int. J. Math. Math. Sci. 30(10) (2002), 627–635.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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