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Title

GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE

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Abstract

 IN THIS PAPER WE CONSIDER APPROXIMATE PROXIMITY PAIR FOR A SINGLE MAP. WE APPLY APPROXIMATE FIXED POINT FOR A MAP AND DISCUSS THE EXISTENCE OF APPROXIMATE PROXIMITY PAIR. APPROXIMATION THEORY, WHICH MAINLY CONSISTS OF THEORY OF NEAREST POINTS (BEST APPROXIMATION) AND THEORY OF FARTHEST POINTS (WORST APPROXIMATION), IS AN OLD AND RICH BRANCH OF ANALYSIS. THE THEORY IS AS OLD AS MATHEMATICS ITSELF. THE ANCIENT GREEKS APPROXIMATED THE AREA OF A CLOSED CURVE BY THE AREA OF A POLYGON. STARTING IN 1853, RUSSIAN MATHEMATICIAN P.L. CHEBYSHEV MADE SIGNIFICANT CONTRIBUTIONS IN THE THEORY OF BEST APPROXIMATION.

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    APA: Copy

    Ahmady, T., NARANG, T.D., Mohsennialhosseni, S.A.M., & ASADI, M.. (2015). GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921139/en

    Vancouver: Copy

    Ahmady T., NARANG T.D., Mohsennialhosseni S.A.M., ASADI M.. GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE. 2015. Available from: https://sid.ir/paper/921139/en

    IEEE: Copy

    T. Ahmady, T.D. NARANG, S.A.M. Mohsennialhosseni, and M. ASADI, “GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921139/en

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