On the Correlation between Banach Contraction Principle and Caristi¿s Fixed Point Theorem in b-Metric Spaces

[EN] We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrovic in their paper "A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces". We also characterize the completeness of b-metric spaces with the help of a variant of the contractivity co...

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Detalhes bibliográficos
Autor: Romaguera Bonilla, Salvador|||0000-0001-7857-6139
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/194474
Acesso em linha:https://riunet.upv.es/handle/10251/194474
Access Level:acceso abierto
Palavra-chave:B-metric space
Complete
Fixed point
The Banach contraction principle
Caristi&apos
s fixed point theorem
Descrição
Resumo:[EN] We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrovic in their paper "A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces". We also characterize the completeness of b-metric spaces with the help of a variant of the contractivity condition introduced by the authors in the aforementioned article.