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Musielak and Orlicz [2] in 1959 redefined and generalized it to obtain a generalization of the classical function spaces L p. Khamsi et al. [3] investigated the fixed point results in modular function spaces.
We thus obtain a generalization of a result in [50].
We obtain a generalization of all results in [3].
In this context, we obtain a generalization of a theorem of Bownik and Rzeszotnik.
We also shall obtain a generalization of (1.5) in view of (1.3).
Then we obtain a generalization of Theorem 2 of Berinde in [10].
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Chandra obtained a generalization of Theorem A by considering the Woronoi-Nörlund transform [7].
In particular, Gutiérrez and Huang [7] obtained a generalization of a theorem by Calabi.
In [10], Yayenie and Edson obtained a generalization of Cassini's identity for the positive real numbers a and b.
Ohsawa and Takahashi [11] obtained a generalization of Theorem 1.1 for maximal monotone operators in Banach spaces.
In particular, Geraghty [6] obtained a generalization of the Banach contraction principle in the setting of complete metric spaces by considering an auxiliary function.
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