Partial b-Metric Spaces and Fixed Point Theorems

By Satish Shukla. 2014

233 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/eb8272a72b93febeb07d30d7cf9163d09577164d

How researchers see this paper

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In Geometry and Topology

1. Stojan Radenovic
2. Nguyen Van Dung
3. Zoran Kadelburg
4. Tran Van An
5. Nabil Mlaikib
6. Nizar Souayaha
7. Radu Miculescu
8. A. Mihail

Citations in the corpus

• A fixed point theorem in S_b-metric spaces (2016, background): “Czerwick [5] extended the Banach principle contraction and its generalizations under different contractions [1, 4, 6, 7, 10, 15, 16, 17, 18] and [19].”
• Various generalizations of metric spaces and fixed point theorems (2015, background): “complex valued b-metric spaces [102], quasi-metric-like spaces [143], M-metric spaces [22], quaternion-valued metric spaces [12], partial b-metric spaces [135] and others.”
• New fixed point theorems for set-valued contractions in b-metric spaces (2015, background): “In the last period many mathematicians obtained fixed point results for single-valued or set-valued functions, in the setting of b-metric spaces (see, for example, [1], [8], [9], [10], [17], [23], [24], [29], [30] and the references therein).”