Coincidences and fixed points of reciprocally continuous and compatible hybrid maps
2002 ◽
Vol 30
(10)
◽
pp. 627-635
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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.
2005 ◽
Vol 2005
(5)
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pp. 789-801
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2018 ◽
Vol 12
(2)
◽
pp. 389-400
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2021 ◽
Vol 65
(1)
◽
pp. 59-84
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