Zamani, Ali; Dehghani, Mahdi On exact and approximate orthogonalities based on norm derivatives. (English) Zbl 1462.46014 Brzdęk, Janusz (ed.) et al., Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4–9, 2016 and Timisoara, Romania, October 8–13, 2018. Cham: Springer. 469-507 (2019). MSC: 46B20 46C50 46-02 PDFBibTeX XMLCite \textit{A. Zamani} and \textit{M. Dehghani}, in: Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4--9, 2016 and Timisoara, Romania, October 8--13, 2018. Cham: Springer. 469--507 (2019; Zbl 1462.46014) Full Text: DOI
Abed, Mohammed Y.; Dehghani, Mahdi; Jahanipur, Ruhollah Approximate \(\rho_\lambda^v\)-orthogonality and its preservation. (English) Zbl 1439.46009 Ann. Funct. Anal. 10, No. 4, 483-495 (2019). MSC: 46B20 46C50 47B99 PDFBibTeX XMLCite \textit{M. Y. Abed} et al., Ann. Funct. Anal. 10, No. 4, 483--495 (2019; Zbl 1439.46009) Full Text: DOI Euclid
Dehghani, Mahdi; Zamani, Ali Characterization of real inner product spaces by Hermite-Hadamard type orthogonalities. (English) Zbl 1427.46016 J. Math. Anal. Appl. 479, No. 1, 1364-1382 (2019). Reviewer: V. Lokesha (Bangalore) MSC: 46C15 46B20 PDFBibTeX XMLCite \textit{M. Dehghani} and \textit{A. Zamani}, J. Math. Anal. Appl. 479, No. 1, 1364--1382 (2019; Zbl 1427.46016) Full Text: DOI
Dehghani, Mahdi; Abed, Mohammed; Jahanipur, Ruhollah A generalized orthogonality relation via norm derivatives in real normed linear spaces. (English) Zbl 1428.46008 Aequationes Math. 93, No. 4, 651-667 (2019). MSC: 46B20 46C50 39B82 PDFBibTeX XMLCite \textit{M. Dehghani} et al., Aequationes Math. 93, No. 4, 651--667 (2019; Zbl 1428.46008) Full Text: DOI
Dehghani, Mahdi; Zamani, Ali Linear mappings approximately preserving \(\rho_\ast\)-orthogonality. (English) Zbl 1383.46014 Indag. Math., New Ser. 28, No. 5, 992-1001 (2017). MSC: 46B20 PDFBibTeX XMLCite \textit{M. Dehghani} and \textit{A. Zamani}, Indag. Math., New Ser. 28, No. 5, 992--1001 (2017; Zbl 1383.46014) Full Text: DOI