Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

By E. Karapınar. 2010

67 citations recorded by the source corpus.

Some results of (Ciric, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally 𝑇 complete cone metric spaces under the assumption that the cone is strongly minihedral. Regarding the scalar weight of cone metric, we are able to remove the assumption of strongly minihedral.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7c2c2c26fffa84269c2b6a4c1c01dcd54c06fed4

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In Geometry and Topology

1. Jamshaid Ahmad
2. Jong-Sook Bae
3. Akbar Azam
4. Seong-Hoon Cho
5. Zoran Kadelburg

Citations in the corpus

• Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications (2013, background): “[7] E. Karapınar, “Some nonunique fixed point theorems of Ciric type on cone metric spaces,” Abstract and Applied Analysis, vol. 2010, Article ID 123094, 14 pages, 2010.”
• Fixed point theorems for multivalued maps in cone metric spaces (2011, background): “Since then, in [11-23], the authors obtained fixed point theorems in cone metric spaces.”