Results 1 to 10 of about 9,296 (123)
C∗-algebra valued R-metric space and fixed point theorems
AIMS Mathematics, 2022 In the present manuscript, notions of $ C^* $-algebra valued $ \mathcal{R} $-metric space and $ C^* $-algebra valued $ \mathcal{R} $-contractive map are introduced along with some fixed point results which in turn generalizes and unifies certain well ...
Astha Malhotra +2 more
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Proceedings of the London Mathematical Society, 2001 50 pages, LaTeX ...
Vaes, Stefaan, Van Daele, Alphons
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Fixed point results in C⋆-algebra-valued bipolar metric spaces with an application
AIMS Mathematics, 2023 In this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on $ \mathcal{C}^{\star} $-algebra-valued bipolar metric spaces.
Gunaseelan Mani +3 more
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Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces [PDF]
Vojnotehnički Glasnik, 2020 Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C*-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some ...
Esad Jakupović +4 more
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Journal of Functional Analysis, 2017 26 pages.
Marius Dadarlat, Ulrich Pennig
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Quasi-Complemented BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter.
Kumar V. Venkata +2 more
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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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C*-algebra valued quasi metric spaces and fixed point results with an application
Applied General Topology, 2022 In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one
Mohammad Asim +3 more
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A note on the differential calculus of Hochschild theory for $ A_{\infty} $-algebras
Electronic Research Archive, 2022 We show by constructing explicit homotopy operators that the Hochschild (co)homology of an $ A_{\infty} $-algebra of Stasheff admits a differential calculus structure.
Youming Chen, Weiguo Lyu , Song Yang
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$C^*$-algebra distance filters [PDF]
Advances in Operator Theory, 2018 We use non-symmetric distances to give a self-contained account of C*-algebra filters and their corresponding compact projections, simultaneously simplifying and extending their general theory.
Bice, Tristan, Vignati, Alessandro
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