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In this paper some common fixed point theorems for single- and multivalued contractive mappings with weak commutativity and compatibility conditions are given. Assumed that single-valued T and S are self-mappings on a generalized (in the sense of Jung [8]) metric space (X,d). Multi-valued mappings F,G : -Cl(X) have values in a space (Cl(X),H) of all nonempty and closed subsets of X, where H is a generalized Hausdorff metric in Cl(X).
Wydawca
Czasopismo
Rocznik
Tom
Strony
803--821
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, G. Narutowicza 11/12, 80-952 Gdańsk, Poland
autor
- Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, G. Narutowicza 11/12, 80-952 Gdańsk, Poland
Bibliografia
- [1] Abdalla J. Asad and Zaheer Ahmad, Common fixed point of multivalued mappings with weak commutativity conditions, Radovi Matematicki, 1 (1999), (1), 119-124.
- [2] A. Azam, I. Berg, Coincidence points of compatible multivalued mappings, Demonstratio Math. 29 (1996), 17-22.
- [3] J. G. Borisovitz, B. D. Gelmann, A. D. Myschkis, V. V. Obukhovski, Introduction to multivalued mappings, Voronesh, (1986) (in Russian).
- [4] H. Covitz and S. B. Nadler jr, Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
- [5] S. Czerwik, Fixed point theorems and special solutions of functional equations, Prace Nauk. Uniw. Śląsk. 428, Katowice, (1980).
- [6] J. Dugundji, A. Granas, Fixed Point Theory, PWN, Warszawa 1982.
- [7] B. Fisher, Mapping satisfying rational inequality, Nanta Math. 12 (1979), 195-199.
- [8] C. K. Jung, On generalized complete metric spaces, Bull. Amer. Math. Soc. (1969), 113-116.
- [9] G. Jungck, Compatible mappings and common fixed points, Int. J. Math. & Math. Sci., 9 (4) (1986), 771-779.
- [10] H. Kaneko, A common fixed point of weakly commuting multivalued mappings, Math. Japan. 33 (5) (1988), 741-744.
- [11] H. Kaneko, S. Sessa, Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math. Sci. 12 (1989), 257-262.
- [12] T. Kubiak, Two coincidence theorems for contractive type multivalued mappings, Studia Univ. Babes-Bolyai, Mathematica, XXX (1985), 65-68.
- [13] T. Kubiak, Fixed point theorems for contractive type multivalued mappings, Math. Japonica, 30, 1 (1985), 89-101.
- [14] S. B. Nadler jr, Multivalued contraction mappings, Pacific J. Math., 30 (2) (1969), 475-488.
- [15] V. Popa, A coincidence theorem for multifunctions, Review of Research Faculty of Science, Math. Series, 18 (1) (1988), 149-156.
- [16] V. Popa, A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstratio Math. 33 (1) (2000), 159-164.
- [17] S. Sessa, On a weak commutativity condition in fixed point considerations, Publ. Inst. Math. (Beograd) 32 (46) (1982), 149-153.
- [18] R. Węgrzyk, Fixed-point theorems for multi-valued functions and their applications to functional equations, Dissertationes Math. 201, PWN, Warszawa (1982).
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0011-0014