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Information Journal Paper

Title

COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR CQ-COMMUTING GENERALIZED NONEXPANSIVE MAPPINGS

Pages

  21-34

Keywords

R -SUBWEAKLY COMMUTING AND CQ-COMMUTING MAPPINGS 

Abstract

 Some common fixed point theorems for Cq -commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc.44 (2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory Appl.8 (1992) 97-105], W.G. Dotson [J. London Math. Soc.4 (1972) 408-410, Proc.Amer. Math. Soc.38 (1973) 155-156.], M. D. Guay, K. L. Singh and J.H. M. Whitfield [Proc. Conference on nonlinear analysis (Ed. S.P.Singh and J. H. Bury) Marcel Dekker 80 (1982) 179-189], L. Habiniak [J. Approx.Theory 56 (1989) 241-244], N. Hussain and B.E. Rhoades [Fixed Point Theory Appl. Vol.2006, Article ID 24543, 1-9], T.D. Narang and S. Chandok [Indian J. Math.51 (2009) 293-303, Ukrainian Math. J.62 (2010) 1367-1376], N. Shahzad [Fixed point Theory Appl.1 (2005) 79-86] and of Y. Song [Comm. Math. Anal.2 (2007) 17-26].

Cites

References

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    • Cite

    APA: Copy

    CHANDOK, SUMIT, & NARANG, T.D.. (2012). COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR CQ-COMMUTING GENERALIZED NONEXPANSIVE MAPPINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 7(1), 21-34. SID. https://sid.ir/paper/310335/en

    Vancouver: Copy

    CHANDOK SUMIT, NARANG T.D.. COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR CQ-COMMUTING GENERALIZED NONEXPANSIVE MAPPINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2012;7(1):21-34. Available from: https://sid.ir/paper/310335/en

    IEEE: Copy

    SUMIT CHANDOK, and T.D. NARANG, “COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR CQ-COMMUTING GENERALIZED NONEXPANSIVE MAPPINGS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 7, no. 1, pp. 21–34, 2012, [Online]. Available: https://sid.ir/paper/310335/en

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