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

	Common fixed point theorems under rational contractions in complex valued extended $b$-metric spaces
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3479-3490 اصل مقاله (380.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20025.2118
نویسندگان
Carmel Pushpa Raj J^* ¹؛ Arul Xavier A¹؛ Maria Joseph J¹؛ Marudai M²
¹Department of Mathematics, St. Joseph's College (Autonomous), Tiruchirappalli-620 002, Tamil Nadu, India
²Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, India
چکیده
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.
کلیدواژه‌ها
Complex valued extended b-metric space؛ Rational contraction؛ Common fixed point
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