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Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

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  • S. L. Singh
  • S. N. Mishra

Abstract

It is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point theorems for single-valued and multivalued maps on metric spaces under tight minimal conditions.

Suggested Citation

  • S. L. Singh & S. N. Mishra, 2002. "Coincidences and fixed points of reciprocally continuous and compatible hybrid maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 30, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:570696
    DOI: 10.1155/S0161171202007536
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    Cited by:

    1. R. K. Bisht, 2012. "Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-12, July.

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