Twisted $(\alpha,\beta)$-Contractive Mapping with Preserving Orthogonality and Hyers-Ulam Stability
DOI:
https://doi.org/10.30495/jme.v18i0.3107Keywords:
orthogonally fixed point Theorem, orthogonally set, orthogonally twisted $(\alpha, \beta)$-admissible mappingAbstract
In his study, we define $\alpha$-$\psi$-contractive type mapping, twisted $(\alpha,\beta)$-admissible mapping, and twisted $(\alpha,\beta)$-contractive mapping on orthogonally metric space. After that, we will examine the fixed point theorem for $\alpha$-$\psi$-contractive mappings with preserving orthogonality. For instance, we demonstrate that there is an orthogonally fixed point for orthogonally $\alpha$-$\psi$-contractive type mapping, but under these conditions, it does not exist in the metric space. Next, we set up a common fixed point with orthogonally preserving for new concepts defined under different conditions in an orthogonally metric space. Moreover, we demonstrate through an example that a fixed point with orthogonally preserving exists for new concepts defined under different conditions. Lastly, we show that the defined concepts can be stableDownloads
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