Author/Authors :
Pushpa Raj J, Carmel Department of Mathematics - St. Joseph's College (Autonomous), Tiruchirappalli, Tamil Nadu, India , Xavier A, Arul Department of Mathematics - St. Joseph's College (Autonomous), Tiruchirappalli, Tamil Nadu, India , Joseph J, Maria Department of Mathematics - St. Joseph's College (Autonomous), Tiruchirappalli, Tamil Nadu, India , M, Marudai Department of Mathematics - Bharathidasan University, Tiruchirappalli, Tamil Nadu, India
Abstract :
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.