Contractive definitions and discontinuity at fixed point


  • Ravindra K. Bisht National Defence Academy
  • R. P. Pant Kumaun University Nainital



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


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.



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Author Biographies

Ravindra K. Bisht, National Defence Academy

Department of Mathematics

R. P. Pant, Kumaun University Nainital

Department of Mathematics


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How to Cite

R. K. Bisht and R. P. Pant, “Contractive definitions and discontinuity at fixed point”, Appl. Gen. Topol., vol. 18, no. 1, pp. 173–182, Apr. 2017.



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