Results 51 to 60 of about 697 (178)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
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Nonexpansive mapping, Equilibrium problem, Fixed point, General system of variational inequality, 49J30, 49J40, 47H09, 47H10,
T. Thammathiwat, S. Plubtieng
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen +4 more
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ON SOME NEW RESULT FOR MULTI-VALUED QUASICONTRACTION MAPS IN A V-FUZZYb-METRIC SPACE
, 2022 In this paper, we define V-fuzzy b-metric space and by using concept of a set-valued ormulti-valued quasi-contraction mapping a fixed point theorem is established.MSC: primary 47H10;secondary ...
Happy Hooda, Manish Vats, Archana Malik
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad +2 more
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Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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Uniqueness Results for Positive Solutions of Ψ–Caputo Fractional Differential Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper establishes rigorous existence and uniqueness results for positive solutions of boundary value problems involving the Ψ–Caputo fractional operator. The equations combine continuous nonlinear terms with Riemann–Liouville fractional integrals and are subject to newly formulated integral boundary conditions.
Hasan Rasouli, Yelda Küçükevcilioğlu
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Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj
Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open Mathematics, 2017 The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan +2 more
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