FIXED POINTS FOR MULTIVALUED CONTRACTIONS IN $b$-METRIC SPACES WITH APPLICATIONS TO FRACTALS

By C. Chifu, Gabriela Petrusel. 2014

47 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b1440e3c28e77332f09ef777af7cf1416e0ad5b7

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In Geometry and Topology

1. VO Thi LE Hang
2. Nguyen Van Dung
3. Radu Miculescu
4. A. Mihail
5. Nicolae-Adrian Secelean

Citations in the corpus

• New fixed point theorems for set-valued contractions in b-metric spaces (2015, background): “ family of b-metric spaces is larger than the one of metric spaces. In other words, every metric spaces is a b-metric space. Note that Czerwik proved that the converse need not be true (see also [4], [12], [18], [22] and [27]), so the family of b-metric spaces is effectively larger than the one of me”
• On relaxations of contraction constants and Caristi’s theorem in b-metric spaces (2016, result): “In recent times, b-metric spaces and the fixed point theory in b-metric spaces were studied by many authors [4, 7, 9, 16], [21, Chapter 12] and [23].”