Results 31 to 40 of about 2,702,462 (144)

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

Journal 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, Doha A. Kattan, Udhayakumar Ramalingam   +2 more
wiley   +1 more source

A Generalized and Refined Perturbed Version of Ostrowski Type Inequalities

International Journal of Analysis and Applications, 2017
In this paper, we first obtain a new identity for twice differentiable mappings. Then, we establish generalized and improved perturbed version of Ostrowski type inequalities for functions whose derivatives are of bounded variation or second derivatives ...
M. Z. Sarikaya, H. Budak, S. Erden, A. Qayyum   +3 more
doaj   +2 more sources

On Lipschitzian operators of substitution generated by set-valued functions [PDF]

Opuscula Mathematica, 2007
We consider the Nemytskii operator, i.e., the operator of substitution, defined by \((N \phi)(x):=G(x,\phi(x))\), where \(G\) is a given multifunction. It is shown that if \(N\) maps a Hölder space \(H_{\alpha}\) into \(H_{\beta}\) and \(N\) fulfils the ...
Jakub Jan Ludew
doaj  

Significance of F‐Contraction After Proinov’s Fixed‐Point Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem, Shahid Bashir, Ali Althobaiti, Imran Zulfiqar Cheema, Bilel Selmi   +4 more
wiley   +1 more source

Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues. By appropriate choice of weight functions, we establish generalized fractional versions of the inequalities for various types of ...
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya, Claudia Capone   +3 more
wiley   +1 more source

Enriched (f, ϕ, ψ, s)‐Functional Contractions and Stability of Nonlinear Volterra Integral and Fractional Differential Equations

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, D. Ramesh Kumar, Xinan Hao   +2 more
wiley   +1 more source

Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

Fractal and Fractional
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for ...
Areej A. Almoneef, Abd-Allah Hyder, Mohamed A. Barakat, Hüseyin Budak   +3 more
doaj   +1 more source

On Convergence Analysis of Nonexpansive Mappings Through the Implicit Midpoint Method in Hyperbolic Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Using the implicit midpoint rule (IMR), we provide Δ‐convergence and strong convergence theorems for a finite family of nonexpansive mappings in the context of uniformly convex hyperbolic spaces. We additionally prove these conclusions in the context of CAT(0) spaces and uniformly convex Banach spaces as noteworthy specific examples for completeness ...
Hafiz Fukhar Ud Din, Amna Kalsoom, Naeem Saleem, Imran Zulfiqar Cheema, Ali Althobaiti, Smritijit Sen   +5 more
wiley   +1 more source

Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir, Hüseyin Budak, Artion Kashuri, Mohammed Rabih, Fatih Hezenci, Muhammad Muawwaz, Smritijit Sen   +6 more
wiley   +1 more source

Further Application of H-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions

Abstract and Applied Analysis, 2014
We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) where f and g are H-differentiable.
Wei-Zhe Gu, Mohamed A. Tawhid
doaj   +1 more source