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- W4225627175 abstract "Abstract The manuscript is an extension of the investigations concerning θ -contractions which have been newly proposed in (Jleli and Samet in J. Inequal. Appl. 2014:38, 2014). The authors generalize the notion of θ -contractions to the case of nonlinear $theta _{b} $ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>θ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:math> -contraction mappings and prove multi-valued fixed point theorems based on the b -Bianchini–Grandolfi gauge function in b -metric spaces. The manuscript consists of a tangible example which displays the motivation for such investigations. The work is compiled by the application of the proposed nonlinear $theta _{b}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>θ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:math> -contractions to Liouville–Caputo fractional differential equations." @default.
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- W4225627175 date "2022-04-04" @default.
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- W4225627175 title "On new generalized $theta _{b}$-contractions and related fixed point theorems" @default.
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- W4225627175 doi "https://doi.org/10.1186/s13660-022-02770-8" @default.
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