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Abstrakty
In this paper, we establish fixed point and homotopic results for generalized contractions on spaces with two metrics. Our results generalize and extend the results of Agarwal and O 'Regan [R. P. Agarwal, Donal O 'Regan, Fixed point theory for generalized contractions on spaces with two metrics, J. Math. Anal. Appl. 248 (2000), 402-414] and those contain therein.
Wydawca
Czasopismo
Rocznik
Tom
Strony
151--160
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
- Centre Advanced Mathematics and Physics National University of Sciences and Technology Campus of College of Electrical and Mechanical Engineering Peshawar Road, Rawalpindi, Pakistam, qkiran@camp.edu.pk
Bibliografia
- [1] R. P. Agarwal, D. O’Regan, Fixed point theory for generalized contractions on spaces with two metrics, J. Math. Anal. Appl. 248 (2000), 402-414.
- [2] V. Ptak, The rate of convergence of Newton’s process, Numer. Math. 25 (1976), 279-285.
- [3] R. M. Bianchini, M. Grandolfi, Transformazioni di tipo contracttivo generalizzato in uno spazio metrico, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 45 (1968), 212-216.
- [4] G. E. Hardy, T. G. Rogers, A generalization of a fixed point theorem of Reich, Canad. Math. Bull. 16 (1973), 201-206.
- [5] R. Kannan, Some remarks on fixed points, Bull. Calcutta Math. Soc. 60 (1960), 71-76.
- [6] M. G. Maia, Un’obsservazione sulle contrazioni mettriche, Rend. Sem. Mat. Univ. Padova 40 (1968), 139-432.
- [7] P. D. Proinov, A generalization of the Banach contraction principle with high order of convergence of successive approximations, Nonlinear Anal. (2006), doi:10.1016/j.na.2006.09.008.
- [8] R. Precup, Discrete continuation method for boundary value problem on bounded sets in Banach spaces, J. Comput. Appl. Math. 113 (2000), 267-281.
- [9] S. Reich, Kannan’s fixed point theorem, Bull. Univ. Mat. Italiana 4 (1971), 1-11.
- [10] R. P. Agarwal, J. Dshalalow, D. O’Regan, Fixed point and homotopy results for generalized contractive maps of Reich type, Appl. Anal. 82 (2003), 329-350.
- [11] A. Granas, Continuation methods for contractive maps, Topol. Methods Nonlinear Anal. 3 (1994), 375-379.
- [12] D. O’Regan, Fixed point theorems for nonlinear operators, J. Math. Anal. Appl. 202 (1996), 413-432
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0027-0034