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Abstrakty
The purpose of this paper is to present some fixed point results for generalized singlevalued and multivalued contractions on a set endowed with one or two vector-valued b-metrics.
Wydawca
Czasopismo
Rocznik
Tom
Strony
825--835
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Department of Applied Mathematics Babes-Bolyai University 1, Kogalniceanu Str. 400084, Cluj-Napoca, Romania, bmonica@math.ubbcluj.ro
Bibliografia
- [1] I. A. Bakhtin, The contraction mapping principle in quasimetric spaces, Funct. Anal., Unianowsk Gos. Ped. Inst. 30 (1989), 26-37.
- [2] V. Berinde, Generalized contractions in quasimetric spaces, Seminar on Fixed Point Theory, Preprint no. 3 (1993), 3-9.
- [3] M. Cicchese, Questioni di completezza e contrazioni in spazi metrici generalizzati, Boll. Un. Mat. Ital. 5 (1976), 175-179.
- [4] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 263-276.
- [5] J. Jachymski, J. Matkowski, T. Swiatkowski, Nonlinear contractions on semimetric spaces, Journal of Applied Analysis 1 (1995), 125-134.
- [6] D. O’Regan, R. Precup, Continuation theory for contractions on spaces with two vector-valued metrics, Applicable Analysis 82 (2003), 131-144.
- [7] A. Petruşel, Multivalued weakly Picard operators and applications, Scientiae Mathematicae Japonicae, 59(2004), 169-202.
- [8] A. Petruşel, I. A. Rus, Fixed point theory for multivalued operators on a set with two metrics, Fixed Point Theory 8 (2007), 97-104.
- [9] I. A. Rus, Principles and Applications of the Fixed Point Theory, Dacia, Cluj-Napoca, 1979.
- [10] S. L. Singh, Charu Bhatnagar, S. N. Mishra, Stability of iterative procedures for multivalued maps in metric spaces, Demonstratio Math. 37 (2005), 905-916.
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Bibliografia
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bwmeta1.element.baztech-article-PWA5-0027-0014