A fixed point theorem for generalized $(\psi ,\varphi )$-weak contractions in Branciari type generalized metric spaces
Open Access
- 25 January 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Fixed Point Theory and Algorithms for Sciences and Engineering
- Vol. 2021 (1), 1-13
- https://doi.org/10.1186/s13663-021-00688-2
Abstract
In this paper, we obtain a new convergence theorem for fixed points of weak contractions in Branciari type generalized metric spaces under weaker conditions. The proof process of the theorem is new and different from that of other authors. An illustrative example of this theorem is to show how the new conditions extend known results.Keywords
Funding Information
- Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province (ZD2019047)
This publication has 13 references indexed in Scilit:
- Fixed point theorems for generalized contractive mappings in metric spacesJournal of Fixed Point Theory and Applications, 2020
- Fixed points for generalized "Equation missing"-contractions on generalized metric spacesJournal of Inequalities and Applications, 2014
- Coincidence and common fixed point theorems for (ψ, φ) weakly contractive mappings in generalized metric spacesFilomat, 2013
- Fixed points of ( ψ , ϕ ) contractions on rectangular metric spacesFixed Point Theory and Applications, 2012
- Fixed points for (ψ,φ)-weakly contractive mappings in generalized metric spacesApplied Mathematics Letters, 2012
- Common fixed points in generalized metric spacesApplied Mathematics and Computation, 2012
- Fixed point results on a class of generalized metric spacesMathematical Sciences, 2012
- CONTRACTIONS OVER GENERALIZED METRIC SPACESJournal of Nonlinear Sciences and Applications, 2009
- A Generalisation of Contraction Principle in Metric SpacesFixed Point Theory and Applications, 2008
- KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACESJournal of Nonlinear Sciences and Applications, 2008