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>Coupled and tripled coincidence point results under $$(F, g)$$-invariant sets in $$G_b$$-metric spaces and $$G$$- $$lpha $$-admissible mappings
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Coupled and tripled coincidence point results under $$(F, g)$$-invariant sets in $$G_b$$-metric spaces and $$G$$- $$lpha $$-admissible mappings
In this paper, we prove that coupled and tripled coincidence point theorems under $$(F, g)$$ ( F , g ) -invariant sets for weakly contractive mappings defined on a $$G$$ G -metric space are immediate consequences of corresponding results via rectangular $$G$$ G - $$lpha $$ α -admissible mappings. This idea can also be applied to obtain coupled and tripled fixed point theorems in other spaces under various contractive conditions which reduces the proof considerably.
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机译:在本文中,我们证明在$$ G $$ G度量空间上定义的弱收缩映射的$$(F,g)$$(F,g)-不变集下的偶合和三重重合点定理是直接结果通过矩形$$ G $$ G-$$ alpha $$α-允许的映射得到的结果。这个想法也可以应用于在各种收缩条件下在其他空间中获得耦合和三重不动点定理,这大大减少了证明。
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