Common fixed point theorems under rational contractions in complex valued extended $b$-metric spaces

Document Type : Research Paper


1 Department of Mathematics, St. Joseph's College (Autonomous), Tiruchirappalli-620 002, Tamil Nadu, India

2 Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, India


In this paper, we discuss the existence and uniqueness of fixed point and common fixed point theorems in complex-valued extended b-metric space for a pair of mappings satisfying some rational contraction conditions which generalize and unify some well known results in the literature.