Best Proximity Points: Optimal Solutions

S. Sadiq Basha ()
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S. Sadiq Basha: Anna University

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 1, No 13, 210-216

Abstract: Abstract This article elicits a best proximity point theorem for non-self-proximal contractions. As a consequence, it ascertains the existence of an optimal approximate solution to some equations for which it is plausible that there is no solution. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designated as a best proximity point. It is interesting to observe that the preceding best proximity point theorem includes the famous Banach contraction principle.

Keywords: Optimal approximate solution; Fixed point; Best proximity point; Contraction; Proximal contraction (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10957-011-9869-4

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