TY - JOUR AU - Alam, Aftab AU - Imdad, Mohammad AU - Arif, Mohammad PY - 2019 DA - 2019/02/11 TI - Observations on relation-theoretic coincidence theorems under Boyd–Wong type nonlinear contractions JO - Fixed Point Theory and Applications SP - 6 VL - 2019 IS - 1 AB - In this article, we carry out some observations on existing metrical coincidence theorems of Karapinar et al. (Fixed Point Theory Appl. 2014:92, 2014) and Erhan et al. (J. Inequal. Appl. 2015:52, 2015) proved for Lakshmikantham–Ćirić-type nonlinear contractions involving $(f,g)$-closed transitive sets after proving some coincidence theorems satisfying Boyd–Wong-type nonlinear contractivity conditions employing the idea of $(f,g)$-closed locally f-transitive binary relation. SN - 1687-1812 UR - https://doi.org/10.1186/s13663-019-0656-5 DO - 10.1186/s13663-019-0656-5 ID - Alam2019 ER -