GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE

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Ahmady T.; NARANG T.D.; Mohsennialhosseni S.A.M.; ASADI M.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

GENERALIZED CYCLIC CONTRACTION AND CONVEX STRUCTURE

Author(s)

Ahmady T. | NARANG T.D. | Mohsennialhosseni S.A.M. | ASADI M. | Issue Writer Certificate

Keywords

APPROXIMATE PAIR PROXIMITY

BEST PROXIMITY

GENERALIZED CYCLIC CONTRACTION

APPROXIMATE FIXED POINT

CONVEX STRUCTURE

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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