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http://dx.doi.org/10.22771/nfaa.2021.26.04.03

COMMON FIXED POINT THEOREMS UNDER RATIONAL CONTRACTIONS IN COMPLEX VALUED EXTENDED b-METRIC SPACES  

Vairaperumal, V. (PG and Research Department of Mathematics, St.Josephs College(Autonomous))
Raj, J. Carmel Pushpa (PG and Research Department of Mathematics, St.Josephs College(Autonomous))
Joseph, J. Maria (PG and Research Department of Mathematics, St.Josephs College(Autonomous))
Marudai, M. (Department of Mathematics, Bharathidasan University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.4, 2021 , pp. 685-700 More about this Journal
Abstract
In this paper, we discuss the existence and uniqueness of fixed point and common fixed point theorems in complex valued extended b-metric spaces for a pair of mappings satisfying some rational contraction conditions which generalized and unify some well-known results in the literature.
Keywords
Complex valued extended b-metric space; rational contraction; common fixed point;
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