Results 41 to 50 of about 7,583,170 (338)
Double Controlled Metric Type Spaces and Some Fixed Point Results
Mathematics, 2018 In this article, in the sequel of extending b-metric spaces, we modify controlled metric type spaces via two control functions α ( x , y ) and μ ( x , y ) on the right-hand side of the b - triangle inequality, that is, d ( x , y ) ≤ α ( x , z ) d ( x , z
T. Abdeljawad +3 more
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The approximation to a fixed point [PDF]
Journal of Fixed Point Theory and Applications, 2013 In a spherically complete ultrametric space, a strictly contracting mapping has a fixed point. We indicate in this paper how this fixed point can either be reached or approximated.
S. Priess-Crampe, Paulo Ribenboim
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IEEE Access, 2020 In this article, we propose a modified conjugate descent (CD) projection algorithm for solving system of nonlinear monotone equations with convex constraints.
Sani Aji +4 more
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An inertially constructed forward–backward splitting algorithm in Hilbert spaces
Advances in Difference Equations, 2021 In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward–backward splitting algorithm and the hybrid shrinking projection algorithm.
Yasir Arfat +4 more
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Advances in Difference Equations, 2021 This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems.
Yasir Arfat +4 more
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Digital fixed points, approximate fixed points, and universal functions
Applied General Topology, 2016 A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images.
Boxer, Laurence +4 more
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A Generalization of b-Metric Space and Some Fixed Point Theorems
, 2017 In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces.
T. Kamran, Maria Samreen, Qurat Ul Ain
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Fixed point theory in terms of a metric and of an order relation
Fixed Point Theory, 2019 We consider a nonempty set X endowed with a metric d an order relation and an operator f : X → X, which satisfies two main assumptions: (1) f is generalized monotone with respect to ; (2) f is a (generalized) contraction with respect to d on a certain ...
A. Petruşel, I. Rus
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Analysis and Geometry in Metric Spaces, 2023 This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a ...
Salisu Sani +2 more
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Journal of Mathematical Analysis and Applications, 1992 Fixed point theorems are a very important tool in the study of existence of solutions to differential equations. In general we work in a Banach space and apply Darbo’s or Sadovski’s fixed point theorems. The continuous dependence of the solutions can be obtained by applying a theorem due to Hale [S].
Luiz Augusto da Costa Ladeira +1 more
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