Proximal normal structure and relatively nonexpansive mappings

By A. A. Eldred, W. A. Kirk, P. Veeramani. 2005

267 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/efdf6e844ea9d4d37a53daa8728a576b3cdc584d

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. V. Sankar Raj
2. S. Sadiq Basha
3. P. Veeramani
4. Naseer Shahzad
5. Ancuţa Mihaela Petric

In Geometry and Topology

1. V. Sankar Raj
2. S. Sadiq Basha
3. P. Veeramani
4. Naseer Shahzad
5. Wutiphol Sintunavarat
6. Poom Kumam
7. Ancuţa Mihaela Petric

In Mathematical Physics

1. S. Sadiq Basha
2. V. Sankar Raj
3. P. Veeramani
4. Ancuţa Mihaela Petric

Citations in the corpus

• 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 pair theorems for relatively nonexpansive mappings (2009, background): “al [2] proved the existence of best proximity points for relatively nonexpansive mappings.”
• A new approach to relatively nonexpansive mappings (2008, unknown): “As it is shown in [3], there exists (A0, B0) ⊆ (A, B) a pair of proximinal parallel sets such that T is relatively nonexpansive with respect to them and T (A0) ⊆ A0 and T (B0) ⊆ B0.”
• Extensions of Banach's Contraction Principle (2010, background): “Further, Anthony Eldred, Kirk and Veeramani [ 2 ] have established best proximity point theorems for non-self relatively nonexpansive mappings.”