Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

S. L. Singh and S. N. Mishra

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-9

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:570696

DOI: 10.1155/S0161171202007536

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