Best proximity point theorems for weak cyclic Kannan contractions

By Ancuţa Mihaela Petric. 2011

59 citations recorded by the source corpus.

In this paper we introduce the notion of weak cyclic Kannan contraction. We give some convergence and existence results for best proximity points for weak cyclic Kannan contractions in the setting of a uniformly convex Banach space.

Subfields: Geography, Planning and Development, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e4bb9e0224f1ac2ee1bf5052527bd4419fb1025b

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In Geometry and Topology

1. Mujahid Abbas
2. Talat Nazir
3. Salvador Romaguera
4. Stojan Radenovic
5. Hassen Aydi
6. Pasquale Vetro
7. Zoran Kadelburg
8. Calogero Vetro

Citations in the corpus

• Fixed point results for generalized cyclic contraction mappings in partial metric spaces (2011, background): “Recently, Karpagam and Agrawal [16] obtained best proximity point theorems for cyclic orbital Meir–Keeler contraction maps (see also, [10,18,20,23]).”