On Suzuki-Wardowski type fixed point theorems

By Nawab Hussain, Jamshaid Ahmad, Akbar Azam, Saudi Arabia. Journal of Nonlinear Science and its Applications, 2015

74 citations recorded by the source corpus.

Recently, Piri and Kumam (Fixed Point Theory and Applications 2014, 2014:210) improved concept of F-contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces. The aim of this article is to de…ne generalizedGF-contraction and establish Wardowski and Suzuki type …xed point results in metric and ordered metric spaces and derive main results of Piri et al. as corollaries. We also deduce certain …xed and periodic point results for orbitally continuous generalized F-contractions and certain …xed point re- sults for integral inequalities are derived. Moreover, we discuss some illustrative examples to highlight the realized improvements.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/71b767a34a3b77b619811e88c96a69d350dfb771

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In Geometry and Topology

1. Nawab Hussain
2. Muhammad Arshad
3. Zoran Kadelburg
4. Stojan Radenovic
5. Peyman Salimi
6. Ljubomir Ciric

Citations in the corpus

• Common fixed point results for new Ciric-type rational multivalued F-contraction with an application (2018, background): “Many other useful results on F -contractions can be seen in [5,6,16,21].”