Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 101439, 6 pages.

Existence and Convergence Theorems of Best Proximity Points

Moosa Gabeleh and Naseer Shahzad

Full-text: Open access

Abstract

The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 101439, 6 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807745

Digital Object Identifier
doi:10.1155/2013/101439

Mathematical Reviews number (MathSciNet)
MR3064922

Zentralblatt MATH identifier
1266.47076

Citation

Gabeleh, Moosa; Shahzad, Naseer. Existence and Convergence Theorems of Best Proximity Points. J. Appl. Math. 2013, Special Issue (2013), Article ID 101439, 6 pages. doi:10.1155/2013/101439. https://projecteuclid.org/euclid.jam/1394807745


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