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Common fixed points of almost generalized contractive mappings in ordered metric spaces. (English) Zbl 1206.54040
Summary: Existence theorems of common fixed points for two weakly increasing mappings satisfying an almost generalized contractive condition in ordered metric spaces are proved. Some comparative example are constructed which illustrate the values of the obtained results in comparison to some of the existing ones in the literature.
MSC:
54H25Fixed-point and coincidence theorems in topological spaces
54F05Linearly, generalized, and partial ordered topological spaces
References:
[1]Al-Thagafi, M. A.; Shahzad, N.: Noncommuting selfmaps and invariant approximations, Nonlinear anal. 64, 2777-2786 (2006) · Zbl 1108.41025 · doi:10.1016/j.na.2005.09.015
[2]Babu, G. V. R.; Sandhya, M. L.; Kameswari, M. V. R.: A note on a fixed point theorem of berinde on weak contractions, Carpathian J. Math. 24, No. 1, 08-12 (2008) · Zbl 1199.54205
[3]I. Beg, M. Abbas, Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory Appl., vol. 2006, Article ID 74503, 2006, pp. 7. · Zbl 1133.54024 · doi:10.1155/FPTA/2006/74503
[4]Berinde, V.: Approximating fixed points of weak contractions using the Picard iteration, Nonlinear anal. Forum 9, No. 1, 43-53 (2004) · Zbl 1078.47042
[5]Berinde, V.: General constructive fixed point theorems for Ćirić-type almost contractions in metric spaces, Carpathian J. Math. 24, No. 2, 10-19 (2008)
[6]Berinde, V.: Common fixed points of noncommuting almost contractions in cone metric spaces, Math. commun. 15, No. 1, 229-241 (2010) · Zbl 1195.54070 · doi:http://hrcak.srce.hr/mathematical-communications
[7]Berinde, V.: Approximating common fixed points of noncommuting almost contractions in metric spaces, Fixed point theory 11, No. 2, 179-188 (2010) · Zbl 1218.54031 · doi:http://www.math.ubbcluj.ro/~nodeacj/vol__11(2010)_no_2.php
[8]Berinde, V.: Some remarks on a fixed point theorem for Ćirić-type almost contractions, Carpathian J. Math. 25, No. 2, 157-162 (2009)
[9]Berinde, V.: Approximating common fixed points of noncommuting discontinuous weakly contractive mappings in metric spaces, Carpathian J. Math. 25, No. 1, 13-22 (2009) · Zbl 1199.54208
[10]&cacute, Lj.B.; Irić: A generalization of Banach’s contraction principle, Proc. amer. Math. soc. 45, 267-273 (1974)
[11]&cacute, Lj.; Irić; Hussain, N.; Cakić, N.: Common fixed points for Ćirić type f-weak contraction with applications, Publ. math. Debrecen 76, No. 1-2, 31-49 (2010)
[12]&cacute, Lj.; Irić; Rakočević, V.; Radenović, S.; Rajović, M.; Lazović, R.: Common fixed point theorems for non-self mappings in metric spaces of hyperbolic type, J. comput. Appl. math. 233, 2966-2974 (2010)
[13]Jungck, G.: Compatible mappings and common fixed points, Int. J. Math. math. Sci. 9, No. 4, 771-779 (1986) · Zbl 0613.54029 · doi:10.1155/S0161171286000935
[14]Jungck, G.: Common fixed points for noncontinuous nonself maps on nonmetric spaces, Far east J. Math. sci. 4, 199-215 (1996) · Zbl 0928.54043
[15]Kannan, R.: Some results on fixed points, Bull. Calcutta math. Soc. 10, 71-76 (1968) · Zbl 0209.27104
[16]Pacurar, M.: Remark regarding two classes of almost contractions with unique fixed point, Creat. math. Inform. 19, No. 2, 178-183 (2010) · Zbl 1210.47078
[17]M. Pacurar, Iterative Methods for Fixed Point Approximation, Risoprint, Cluj-Napoca, 2009.
[18]Ran, A. C. M.; Reurings, M. C. B.: A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. amer. Math. soc. 132, 1435-1443 (2004) · Zbl 1060.47056 · doi:10.1090/S0002-9939-03-07220-4
[19]Sessa, S.: On a weak commutativity condition of mappings in fixed point consideration, Publ. inst. Math. 32, 149-153 (1982) · Zbl 0523.54030
[20]Zamfirescu, T.: Fixed point theorems in metric spaces, Arch. mat. (Basel) 23, 292-298 (1972) · Zbl 0239.54030 · doi:10.1007/BF01304884