A generalized notion of orthogonality preserving mappings on inner product modules

In this paper, we define a new concept called “strongly orthogonality preserving mappings ” for inner product modules, which extends the existing notion of “orthogonality preserving mappings”. Also, we provide a condition that is both necessary and sufficient for a linear map between inner product modules to be strongly orthogonality preserving. Some examples related to the definition are given.