BEST APPROXIMATION FOR NONCONVEX SET IN q-NORMED SPACE

نویسندگان

  • HEMANT KUMAR NASHINE
  • H. K. NASHINE
چکیده

Some existence results on best approximation are proved without starshaped subset and affine mapping in the set up of q-normed space. First, we consider the closed subset and then weakly compact subsets for said purpose. Our results improve the result of Mukherjee and Som [11] and Jungck and Sessa [7] and some known results [4], [9], [12] are obtained as consequence. To achieve our goal, we have introduced a property known as “Property(A)”.

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تاریخ انتشار 2006