Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions

Abstract

In this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally f-transitive binary relation. In this context, we generalize some relevant fixed point results in the literature. Further, we give an example to substantiate the utility of our results.

Keywords

• binary relation
• locally f-transitive
• r-completeness
• weak c-contraction
• weak k-contraction