New fixed point theorems for generalized F-contractions in complete metric spaces

By Jamshaid Ahmad, A. Al-Rawashdeh, Akbar Azam. Fixed Point Theory and Applications, 2015

103 citations recorded by the source corpus.

In this paper, owing to the concept of F-contraction, we define two new classes of functions M(S,T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$M(S,T)$\end{document} and N(S,T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$N(S,T)$\end{document}, and we prove some new fixed point results for single-valued and multivalued mappings in complete metric spaces. Our results extend, generalize and unify several known results in the literature. We include an example to show that the generalization is proper.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0b1e43dfcd483fe9ae77173926ce6493d3d0f5df

Citations in the corpus

• On common fixed points for α−F -contractions and applications (2016, unknown): “2 have been generalized in many directions, for more details see [1, 11, 16, 18, 19, 22].”