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A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space

A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space

Suppose <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")"> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </mfenced> </math> be sequence of positive reals. By <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msub> <mrow> <mi mathvariant="script">H</mi> </mrow> <mrow> <mi>w</mi> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <mfenced open="(" close=")"> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> …