The major objectives of this research article are to introduce the notion of ($ \alpha, \psi $)-contraction in the context of $ \mathfrak{F} $-bipolar metric space and establish fixed point theorems. In this way, coupled fixed point results are obtained by applying the leading theorems. Some non-trivial examples are also furnished to show the validity of established results. As applications of the main result, we investigate the solution of an integral equation and a homotopy problem.
Citation: Amer Hassan Albargi. Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications[J]. AIMS Mathematics, 2023, 8(12): 29681-29700. doi: 10.3934/math.20231519
The major objectives of this research article are to introduce the notion of ($ \alpha, \psi $)-contraction in the context of $ \mathfrak{F} $-bipolar metric space and establish fixed point theorems. In this way, coupled fixed point results are obtained by applying the leading theorems. Some non-trivial examples are also furnished to show the validity of established results. As applications of the main result, we investigate the solution of an integral equation and a homotopy problem.
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Amer Hassan Albargi. Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications[J]. AIMS Mathematics, 2023, 8(12): 29681-29700. doi: 10.3934/math.20231519
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