Discussion on relation-theoretic for JS-quasi-contractions of uni/multi-dimensional mappings with the transitivity
Abstract: We introduce the notion of a JS 𝕽 quasi-contraction mapping, where 𝕽 is a binary relation on its domain. Also, we prove some fixed point results for such contractions in complete metric spaces endowed with a transitive relation. An example is given to substantiate...
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| Autores principales: | , |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300559 |
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| Sumario: | Abstract: We introduce the notion of a JS 𝕽 quasi-contraction mapping, where 𝕽 is a binary relation on its domain. Also, we prove some fixed point results for such contractions in complete metric spaces endowed with a transitive relation. An example is given to substantiate our obtained theorems. In addition, we introduce a JS 𝕽N -quasicontraction and also establish fixed point of N-order theorems for such contractions. |
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