Best Proximity Points for a New Class of Generalized Proximal Mappings

Kamran, Tayyab; Ali, Muhammad Usman; Postolache, Mihai; Ghiura, Adrian; Farheen, Misbah

Research Article

Best Proximity Points for a New Class of Generalized Proximal Mappings

Tayyab Kamran¹
Muhammad Usman Ali²
Mihai Postolache³*
Adrian Ghiura³
Misbah Farheen¹

Quaid-i-Azam University
Women University of Azad Jammu and Kashmir
University Politehnica

* Corresponding author

Abstract

The best proximity points are usually used to find the optimal approximate solution of the operator equation Tx = x, when T has no fixed point. In this paper, we prove some best proximity point theorems for nonself multivalued operators, following the foot steps of Basha and Shahzad [Best proximity point theorems for generalized proximal contractions, Fixed Point Theory Appl., 2012, 2012:42].

How to Cite

T. Kamran, M. U. Ali, M. Postolache, A. Ghiura, M. Farheen, Best Proximity Points for a New Class of Generalized Proximal Mappings, Int. J. Anal. Appl. 13 (2017), 198–205.

BibTeX

@article{Kamran2017,
  author  = {Kamran, Tayyab and Ali, Muhammad Usman and Postolache, Mihai and Ghiura, Adrian and Farheen, Misbah},
  title   = {Best Proximity Points for a New Class of Generalized Proximal Mappings},
  journal = {Int. J. Anal. Appl.},
  volume  = {13},
  year    = {2017},
  pages   = {198--205},
  doi     = {}
}

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