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Common fixed points of pseudo compatible mappings

  • R. P. Pant
  • Ravindra K. Bisht
Original Paper

Abstract

In the present paper we introduce a new notion of commutativity which is a proper generalization of occasional weak compatibility. We also introduce the notion of g-reciprocal continuity and obtain fixed point theorems under the new notions.

Keywords

Fixed point theorems Occasionally weakly compatible Reciprocal continuity Pseudo compatible G-reciprocal continuity 

Mathematics Subject Classification (2000)

47H09 47H10 54H25 

Notes

Acknowledgments

The authors are thankful to the referees for their valuable suggestions for improving the presentation of the paper.

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Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  1. 1.Department of MathematicsKumaun UniversityNainitalIndia
  2. 2.Department of Applied Sciences and HumanitiesB. T. Kumaun Institute of TechnologyAlmoraIndia

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