Contractive definitions and discontinuity at fixed point

Ravindra K Bisht, R. P. Pant
DOI: https://doi.org/10.4995/agt.2017.6713

Abstract

In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

 


Keywords

Fixed point; $(\epsilon-\delta)$ contractions; power contraction; orbital continuity

Subject classification

47H09; 47H10.

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References

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