Discussion on relation-theoretic for JS-quasi-contractions of uni/milti-dimensional mappings with transitivity

• Sawangsup, Kanokwan ^[1] ; Sintunavarat, Wutiphol ^[1]
  1. [1] Thammasat University

     Thammasat University

     Tailandia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 3, 2020, págs. 559-580
• Idioma: inglés
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• Resumen

  • We introduce the notion of a JSR 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 JSRN -quasicontraction and also establish fixed point of N-order theorems for such contractions.