Common Fixed Point Theorems for Generalized Quadratic $ (\psi_{1},\psi_{2},\phi)$-Weak Contraction in Complete Metric Spaces

In this paper, we obtain sufficient conditions for the existence of a unique fixed point of $T$- mean nonexpansive mapping and an integral type of $T$- mean nonexpansive mapping. We also obtain sufficient conditions for the existence of coincidence point and common fixed point for a Jungck-type mean nonexpansive mapping in the frame work of a complete metric space. Some examples of $T$-mean nonexpansive and Jungck-type mean nonexpansive mappings which are not mean nonexpansive mapping are given. The result obtained generalizes corresponding results in this direction in the literature.

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Some results on generalized mean nonexpansive mapping in complete metric spaces

Mebawondu

Izuchukwu

Abass

2022

B Soc Paran Mat

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Common Fixed Point Theorems for Generalized Quadratic $ (\psi_{1},\psi_{2},\phi)$-Weak Contraction in Complete Metric Spaces

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Some results on generalized mean nonexpansive mapping in complete metric spaces

Some results on generalized mean nonexpansive mapping in complete metric spaces

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