Abstract:In this paper, we conclude that $n$-linear functionals spaces $\Im$ has approximate fixed points set, where $\Im$ is a non-empty bounded subset of an $n$-Banach space $H$ under the condition of equivalence, and we also use class of $(\mu,\sigma)$-nonexpansive mappings.
“…Recently, many researchers have extensively studied these types of fixed point theorems ( [4][5][6][7][8], [12][13][14][15]). Many of the concepts have been introduced recently in the Hardy-Rogers theory from those studies we mention, Rangamma [16] proved Hardy and Rogers type common fixed point theorem for a family of self-maps in cone 2-metric spaces, in the same way.…”
“…Recently, many researchers have extensively studied these types of fixed point theorems ( [4][5][6][7][8], [12][13][14][15]). Many of the concepts have been introduced recently in the Hardy-Rogers theory from those studies we mention, Rangamma [16] proved Hardy and Rogers type common fixed point theorem for a family of self-maps in cone 2-metric spaces, in the same way.…”
“…Gähler [3], offered a fascinating n-norm theory on linear spaces then numerous authors, including Kim et al [10], Malceski [12], Misiak [13], and Gunawan [4], have developed linear n-normed spaces systematically. In a linear n-Banach space current research on the functional analysis parts we're referring to [6].…”
In this study, by evaluating two mappings that do not both exhibit direct continuity features, fresh results were found supporting the uniqueness of the solutions in generalized spaces.
In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.
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