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Best Proximity Point Results for MK‐Proximal Contractions

Author

Listed:
  • Mohamed Jleli
  • Erdal Karapınar
  • Bessem Samet

Abstract

Let A and B be nonempty subsets of a metric space with the distance function d, and T : A → B is a given non‐self‐mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real‐valued function x ↦ d(x, Tx), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.

Suggested Citation

  • Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2012. "Best Proximity Point Results for MK‐Proximal Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:193085
    DOI: 10.1155/2012/193085
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    References listed on IDEAS

    as
    1. Erdal Karapınar & I. Savas Yuce, 2012. "Fixed Point Theory for Cyclic Generalized Weak ϕ‐Contraction on Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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