Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

oleh: S. L. Singh, S. N. Mishra

Format: Article
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.