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Functional type Caristi-Kirk theorem on two metric spaces and applications

Article scientifique 2016 Anglais

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Abstract In this paper, we give some generalizations of the functional type Caristi-Kirk theorem (see Functional Type Caristi-Kirk Theorems, 2005) for two mappings on metric spaces. We investigate the existence of some fixed points for two simultaneous projections to find the optimal solutions of the proximity two functions via Caristi-Kirk fixed point theorem.

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Chaira, K., Marhrani, E. (2016). Functional type Caristi-Kirk theorem on two metric spaces and applications. https://doi.org/10.1186/s13663-016-0586-4

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