Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
By D. Ðukić, Zoran Kadelburg, Stojan Radenovic. 2011
104 citations recorded by the source corpus.
Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9e285c2f488394ffd7bcf2fadb5ee32e37f629e5
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In Geometry and Topology
- Nawab Hussain
- Vahid Parvaneh
- Zoran Kadelburg
- Yeol Je Cho
- Jamal Rezaei Roshan
- M. Eshaghi Gordji
- Maryam Ramezani
- Stojan Radenovic
Citations in the corpus
- New fixed point results in b-rectangular metric spaces (2016, background): “Following [9], for a real number s > 1 (the case s = 1 is easy and well known), let Fs denote the class of all functions β : [0,∞)→ [0, 1/s) satisfying the following condition:”
- A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations (2012, background): “The existence of a fixed point, a common fixed point and a couple fixed point for some kinds of contraction type mappings in cone metric spaces, partially ordered metric spaces and fuzzy metric spaces has been considered recently by some authors [1-28] and, by using fixed point theorems, some of the”