Proximinal Retracts and Best Proximity Pair Theorems

By W. A. Kirk, Simeon Reich, P. Veeramani. 2003

304 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c0a9f0eef3d059343e261801b0cdb043c73c1b83

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Naseer Shahzad
2. S. Sadiq Basha
3. Nawab Hussain
4. G. Jungck

In Geometry and Topology

1. Naseer Shahzad
2. S. Sadiq Basha
3. Nawab Hussain
4. Poom Kumam
5. G. Jungck
6. Wutiphol Sintunavarat
7. Ancuţa Mihaela Petric

In Mathematical Physics

1. Naseer Shahzad
2. S. Sadiq Basha

Citations in the corpus

• Existence and convergence of best proximity points (2006, unknown): “A map T :A∪B → A∪B is a cyclic contraction map if it satisfies: (1) T (A) ⊆ B and T (B) ⊆ A.”
• Best Proximity Point Results for Modified --Proximal Rational Contractions (2013, unknown): “For more details on this approach, we refer the reader to [5, 7–32].”
• Best proximity point theorems for generalized proximal contractions (2012, background): “Also, best proximity point theorems for various kinds of multi-valued mappings have been accomplished in [21-31].”