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Some new common fixed point theorems for contractive selfmappings with applications

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In this paper, we first prove a new common fixed point in general topological spaces with a [Formula: see text]-distance. From this result, we establish two common fixed points for… Click to show full abstract

In this paper, we first prove a new common fixed point in general topological spaces with a [Formula: see text]-distance. From this result, we establish two common fixed points for two new classes of contractive selfmappings in complete bounded metric spaces. Furthermore, an application to a system of differential equations and another to a system of functional equations arising in dynamic programming are given.

Keywords: fixed point; common fixed; point theorems; new common; contractive selfmappings

Journal Title: Asian-European Journal of Mathematics
Year Published: 2021

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