Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

By Thabet Abdeljawad, E. Karapınar. 2009

83 citations recorded by the source corpus.

Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then generalize to complete cone metric spaces. Some more general results are also obtained in quasicone metric spaces.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/521efca9a5916ef5cc7463dbc4c62f4d811741ad

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. Stojan Radenovic
2. Wasfi A. Shatanawi
3. Zoran Kadelburg
4. Slobodanka Jankovic

In Geometry and Topology

1. Stojan Radenovic
2. Zoran Kadelburg
3. Slobodanka Jankovic
4. Wasfi A. Shatanawi
5. Nawab Hussain
6. Peyman Salimi
7. Nguyen Van Dung

Citations in the corpus

• On cone metric spaces: A survey (2011, background): “Soon after this work many articles concerned with cone spaces with normal cones appeared (see [9–53]).”
• Some Common Coupled Fixed Point Results in Cone Metric Spaces (2010, background): “For a survey of coincidence point theory over cone metric spaces, we refer the reader (as examples) to [1-4,6-14].”