Results 11 to 20 of about 68,923 (86)
Hyperstability of the k-Cubic Functional Equation in Non-Archimedean Banach Spaces
Journal of Mathematics, 2020 Using the fixed point approach, we investigate a general hyperstability results for the following k-cubic functional equations fkx+y+fkx−y=kfx+y+kfx−y+2kk2−1fx, where k is a fixed positive integer ≥2, in ultrametric Banach spaces.
Youssef Aribou, Mohamed Rossafi
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On generalizations of some fixed point theorems in semimetric spaces with triangle functions [PDF]
Frontiers in Applied Mathematics and StatisticsIn the present study, we prove generalizations of Banach, Kannan, Chatterjea, Ćirić-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mapping contracting perimeters of triangles.
Evgeniy Petrov +2 more
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Ultrametric Fredholm operators and approximate pseudospectrum [PDF]
Arab Journal of Mathematical SciencesPurposeThe paper deals with ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultrametric Banach spaces.Design/methodology/approachThe author used the notions of ...
Jawad Ettayb
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MathematicsIn this paper, we introduce a general class of quadrilateral total pairwise φ-contractions and investigate fixed-point results for such mappings in metric and semimetric spaces endowed with multiple distinct metrics.
Ravindra K. Bisht, Manuel De La Sen
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Results on the Existence and Convergence of Best Proximity Points
Fixed Point Theory and Applications, 2010 We first consider a cyclic φ-contraction map on a reflexive Banach space X and provide a positive answer to a question raised by Al-Thagafi and Shahzad on the existence of best proximity points for cyclic φ-contraction maps in reflexive ...
Ali Abkar, Moosa Gabeleh
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Approximate isomorphism of metric structures
Mathematical Logic Quarterly, Volume 69, Issue 4, Page 482-507, November 2023., 2023 Abstract We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov [2] and by Ben Yaacov, Doucha, Nies, and Tsankov [6], which are largely incompatible. With this we explicitly exhibit Scott sentences for the perturbation systems of the former paper, such as the Banach‐Mazur ...
James E. Hanson
wiley +1 more source
Unique Common Fixed Points for Occasionally Weakly Biased Maps of Type A in b‐Metric‐Like Spaces
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 We start this work by demonstrating the existence of unique common fixed points for two pairs of occasionally weakly biased maps of type A in a b‐metric‐like space, and we end it by producing two illustrative examples in order to support and show that our results are meaningful.
Hakima Bouhadjera +5 more
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Injective metrics on buildings and symmetric spaces
Bulletin of the London Mathematical Society, Volume 54, Issue 6, Page 2297-2313, December 2022., 2022 Abstract In this article, we show that the Goldman–Iwahori metric on the space of all norms on a fixed vector space satisfies the Helly property for balls. On the non‐Archimedean side, we deduce that most classical Bruhat–Tits buildings may be endowed with a natural piecewise ℓ∞$\ell ^\infty$ metric which is injective. We also prove that most classical
Thomas Haettel
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this study, we use the alternative fixed‐point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation g(u + mv) + g(u − mv) = 2(m − 1)(7m − 9)g(u) + 2(m2 − 1)m2g(v) − (m − 1)2g(2u) + m2{g(u + v) + g(u − v)}, with a fixed positive integer m/ge2 in the context of (β, p)‐Banach space.
Ravinder Kumar Sharma +2 more
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