Results 21 to 30 of about 401 (140)

Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

open access: yesOpen Mathematics, 2022
In this work, the solvability for an inverse problem of a nonlinear parabolic equation with nonlocal integral overdetermination supplementary condition is examined.
Huntul Mousa J.   +3 more
doaj   +1 more source

Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
wiley   +1 more source

Major Remark on Unique Fixed‐Point Theorems via Interpolative and Rational Contractions in Super Metric Spaces and A New Approach to the Interpolative Contractions

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper presents a critical analysis of several recent fixed‐point results involving interpolative and rational contractions in super metric spaces and related frameworks. We first show that certain claimed fixed‐point theorems, including a result concerning (ρ, λ)‐interpolative Kannan contractions, do not provide genuinely new contributions, since ...
Arsalan Hojjat Ansari   +3 more
wiley   +1 more source

Existence of solutions for quasilinear random impulsive neutral differential evolution equation

open access: yesArab Journal of Mathematical Sciences, 2018
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
doaj   +1 more source

The existence and uniqueness of solutions to a functional equation arising in psychological learning theory

open access: yesDemonstratio Mathematica, 2023
The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali   +3 more
doaj   +1 more source

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

open access: yesAbstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +1 more source

Best Proximity Point Results in Graphical Metric Space and Application

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This article introduces and investigates the notion of (Ψ, K)‐quasi graphical proximal contraction mappings within the framework of graphical metric spaces. We establish several best proximity point theorems for such mappings under appropriate structural and completeness assumptions.
Sadia Farooq, Naeem Saleem, Gopi Prasad
wiley   +1 more source

An Innovative Approach to the Product of k-Hybrid Functional Integral Equation

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
doaj   +1 more source

Investigating Mild Solutions for Noninstantaneous Impulsive Caputo Fractional Integro‐Differential Equations

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, the existence of mild solutions for a class of noninstantaneous impulsive Caputo fractional integro‐differential equations subject to nonlocal conditions in Banach spaces is investigated. The problem is formulated in a general infinite‐dimensional setting so that systems involving memory effects and impulses acting over finite intervals ...
Hasanen A. Hammad   +2 more
wiley   +1 more source

Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, a new family of polynomial‐type fuzzy contractions defined on metric spaces is introduced. Under filtered assumptions, it is demonstrated that such non‐crisp set‐valued operators possess some fixed points. Because of the higher‐order terms polynomial nature of the contractions, a few important corollaries, some of which drop to existing ...
Maha Noorwali   +2 more
wiley   +1 more source

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