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Fixed Point Theory and Algorithms for Sciences and Engineering
Scopus
ISSN 2730-5422 · SpringerOpen · 1.301 artikel di indeks
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Artikel Jurnal
Stability and sensitivity analysis of a pneumonia model with awareness component using differential equations
Abstract Pneumonia presents a persistent and significant global health challenge, with its complex transmission dynamics exacerbated by the prevalence of asymptomatic carriers and diverse clinical presentations. This study addresses the limitation of traditional epidemiological models by…
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Novel results for Wardowski contraction principle in triple-controlled orthogonal S $\mathcal{S} $ -metric space with applications to fractional equations
Abstract We introduce triple-controlled orthogonal S $\mathcal{S} $ -metric type spaces involve triple auxiliary control functions β, μ, & γ, extending the classical controlled S $\mathcal{S} $ -metric type sitting. Furthermore, we formulate ( α s , ⊥ ) $(\alpha _{s},\bot ) $ -admissible function &…
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AK-iterative scheme for fixed point approximation in hyperbolic metric spaces and applications in Volterra integral equation
Abstract In this paper, we utilize the AK-iteration procedure for hyperbolic metric spaces, ensuring the symmetry condition is met and establish the weak w 2 $w^{2}$ -stability and data dependence results for contraction mappings. Additionally, we establish several Δ-convergence and strong…
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Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional integro-differential equations
Abstract The present paper is devoted to discussing a class of nonlinear Caputo-type fractional integro-differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Leray-Schauder alternative principle…
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Variational principles using a non-symmetric non-triangular distance
Abstract We consider Borwein-Preiss and Ekeland variational principles using a distance function that neither is symmetric nor enjoy the triangular inequality. All the given results rely exclusively on the convergence and continuity behaviors induced synthetically by the distance function itself…
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A counterexample for the symmetrization of quasi-partial b-metrics
Abstract A common approach in the theory of generalized metric spaces, particularly in spaces which lack symmetry, is to pass to a symmetrized function. In the literature on quasi-partial b-metric spaces, it has been repeatedly assumed without proof that the standard symmetrization d q ( x , y ) =…
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Artikel Jurnal
Hyers–Ulam stability of a nonlinear fractional hybrid dynamic equations on arbitrary time scales via measures of noncompactness
Abstract This paper investigates different forms of Hyers–Ulam stability for solutions of a nonlinear fractional hybrid dynamic equation defined on arbitrary time scales. By employing the measure of noncompactness together with a newly developed generalized version of Darbo’s fixed-point theorem…
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Best proximity point results for polynomial type contractions
Abstract We introduce polynomial-type contractions for cyclic and non-self mappings in the setting of metric spaces and establish the existence of best proximity points for such mappings. Our results generalize the cyclic contraction results of Eldred and Veeramani (J. Math. Anal. Appl…
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Artikel Jurnal
Lyapunov-based stability analysis of fractional partial differential equations
Abstract This paper focuses on a novel method for the stability of fractional partial differential equations with a power fractional derivative. By some estimates of convex functions, we extend the Lyapunov functionals for ODE systems to their fractional-order counterparts with and without the…
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Controllability for ψ-Hilfer fractional Sobolev-type stochastic differential system
Abstract In this article, we explore the existence and controllability results for a class of ψ-Hilfer fractional Sobolev-type stochastic differential systems with infinite delay. Sufficient conditions for controllability results are obtained by using the notion of the measure of noncompactness…
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Artikel Jurnal
Existence, uniqueness, and neural network approximation for Caputo q-fractional integro-differential equations with non-local conditions
Abstract This research explores the existence and uniqueness of solutions to fractional q-integro differential equations with non-local boundary conditions, combining both Caputo fractional q-derivatives and Riemann-Liouville fractional q-integral to model memory-dependent and discretized…
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Artikel Jurnal
Modified proximal-type algorithms for solving multi-structured problems in Hadamard spaces
Abstract This work introduces a novel modified Halpern-type proximal point algorithm, designed for a finite family of k-demimetric mappings, resolvents of monotone operators, and resolvents of mixed equilibrium problems. In the context of Hadamard spaces, we establish the convergence of the…
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Artikel Jurnal
Fixed point theorems in perturbed supra metric spaces with an application to ABC $\mathsf{ABC}$ -fractional foot and mouth disease model
Abstract This paper introduces the novel concept of perturb supra metric spaces, which provides a mathematical framework to account for potential errors in distance measurements. We establish several significant fixed point theorems in this generalized setting, including extensions of the Banach’s…
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Existence of a class of vector-valued and multivariate α-fractal functions on a hype-rectangle of R q $\mathbb{R}^{q}$
Abstract In this article, we first prove the existence of a class of vector-valued and multivariate α-fractal functions on a hype-rectangle of R q $\mathbb{R}^{q}$ . After that, we show that the set of functions with any possible fixed dimension in the continuous function space is dense with…
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Artikel Jurnal
New perturbed parametric metric spaces for distance modeling: fixed-point analysis with applications to the fixed-circle problem
Abstract In this study, we introduce a new generalization of metric spaces, called Perturbed Parametric Metric Spaces (PPMS). This framework extends the classical metric space by incorporating perturbation functions and the presence of a non-negative parameter τ in its distance function, rather…
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Exact solution of an inverse problem for affine images of IFS attractors
Abstract A contractive iterated function system (IFS) defined on a complete metric space X possesses a unique compact attractor F ⊂ X $F\subset X$ . Obtaining the transformations of F is generally nontrivial, due to the nature of construction of F. In this work, we review a method based on…
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Artikel Jurnal
Enhancing group decision-making through Type-2 Fermatean fuzzy sets
Abstract This paper proposes an advanced group decision-making model based on Type-2 fermatean fuzzy sets (T2FFS), incorporating newly developed Hamming and Euclidean distance metrics. The proposed framework addresses the limitations of conventional fuzzy set approaches by improving and handling…
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Artikel Jurnal
Anti-periodic boundary value problems for singular fractional p-Laplacian equations
Abstract In this paper, anti-periodic boundary value problems for Caputo fractional differential equations involving the p-Laplacian operator and a singular nonlinearity of the form t − γ $t^{-\gamma}$ are studied. Using tools from functional analysis together with Schaefer fixed point theorem, a…
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Artikel Jurnal
Multivalued fixed point theorems in Banach algebra based on degree of nondensifiability and applications
Abstract Using the concept of the degree of nondensifiability in Banach algebras, we establish fixed point theorems for the product of two operators that are contractions with respect to this measure. Furthermore, we present a Krasnosel’skii-type fixed point theorem for the sum of two operators in…
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