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Information Journal Paper

Title

BEST PROXIMITY PAIR AND COINCIDENCE POINT THEOREMS FOR NONEXPANSIVE SET-VALUED MAPS IN HILBERT SPACES

Pages

  229-234

Abstract

 This paper is concerned with the BEST PROXIMITY PAIR problem in HILBERT SPACEs. Given two subsets A and B of a HILBERT SPACE H and the set-valued maps F: A® 2B and G: A0®2A0, where A0= {xÎ A: ||x - y||=d (A, B) for some yÎ B}, BEST PROXIMITY PAIR theorems provide sufficient conditions that ensure the existence of anx0 2 A such thatd(G (x0), F (x0)) =d (A, B).

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  • Cite

    APA: Copy

    AMINI HARANDI, A.. (2011). BEST PROXIMITY PAIR AND COINCIDENCE POINT THEOREMS FOR NONEXPANSIVE SET-VALUED MAPS IN HILBERT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 229-234. SID. https://sid.ir/paper/572441/en

    Vancouver: Copy

    AMINI HARANDI A.. BEST PROXIMITY PAIR AND COINCIDENCE POINT THEOREMS FOR NONEXPANSIVE SET-VALUED MAPS IN HILBERT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):229-234. Available from: https://sid.ir/paper/572441/en

    IEEE: Copy

    A. AMINI HARANDI, “BEST PROXIMITY PAIR AND COINCIDENCE POINT THEOREMS FOR NONEXPANSIVE SET-VALUED MAPS IN HILBERT SPACES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 229–234, 2011, [Online]. Available: https://sid.ir/paper/572441/en

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