Caristi type and meir-keeler type fixed point theorems
2019
We generalize the Caristi fixed point theorem by employing a weaker form of
continuity and show that contractive type mappings that satisfy the
conditions of our theorem provide new solutions to the Rhoades’ problem on
continuity at fixed point. We also obtain a Meir-Keeler type fixed point
theorem which gives a new solution to the Rhoades’ problem on the existence
of contractive mappings that admit discontinuity at the fixed point. We
prove that our theorems characterize completeness of the metric space as
well as Cantor’s intersection property.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
0
References
5
Citations
NaN
KQI