Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications

• Autorzy: Anita Tomar , Meena Joshi
• Języki publikacji: EN

Abstrakty

EN

The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral. Appropriate examples and applications validate the established theory. Further, we provide one more answer to the question of the existence of the contractive condition in Cone metric spaces so that the fixed point is at the point of discontinuity of a map. Also, we provide a negative answer to a natural question of whether the contractive conditions in the obtained results can be replaced by its metric versions.(original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2021
• Tom: 35 (2)
• Strony: 302--318

Twórcy

autor

Anita Tomar

• Government Degree College Thatyur (Tehri Garhwal) Uttarakhand India

autor

Meena Joshi

• S.G.R.R. (P.G.) College Dehradun India

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2021-0009