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

Kanokwan Sawangsup, Wutiphol Sintunavarat

• 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.