ANNALI DELL'UNIVERSITA' DI FERRARA

, Volume 57, Issue 1, pp 181–190

Weak reciprocal continuity and fixed point theorems

Authors

  • R. P. Pant
    • Department of MathematicsKumaun University Nainital
    • Department of MathematicsKumaun University Nainital
  • D. Arora
    • Department of MathematicsKumaun University Nainital
Article

DOI: 10.1007/s11565-011-0119-3

Cite this article as:
Pant, R.P., Bisht, R.K. & Arora, D. Ann Univ Ferrara (2011) 57: 181. doi:10.1007/s11565-011-0119-3

Abstract

The aim of the present paper is to introduce the notion of weak reciprocal continuity and obtain fixed point theorems by employing the new notion. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. Our results generalize several fixed point theorems.

Keywords

Fixed point theoremsNonexpansive mappingCompatible mapsNoncompatible mapsR-weakly commuting mappingsReciprocal continuityR-weakly commuting of type (Af ) and of type (Ag )

Mathematics Subject Classification (2000)

47H0947H1054H25
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Copyright information

© Università degli Studi di Ferrara 2011