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Coincidences and fixed points of reciprocally continuous and compatible hybrid maps
oleh: S. L. Singh, S. N. Mishra
Format: | Article |
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Diterbitkan: | Wiley 2002-01-01 |
Deskripsi
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.