Results 31 to 40 of about 5,154,853 (135)

Modified Fast Inertial‐Type Krasnosel’skii‐Mann Iterative Scheme Involving Asymptotically Nonexpansive Mapping

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T : H⟶H be asymptotically nonexpansive mapping with F(T) ≠ ∅ ∅ and let xnn≥0 be defined by xn+1 = σnzn + bn(Tnσnzn − σnzn) + εn, ∀n ≥ 1.
Emmanuel Akaligwo, Micah Osilike, Noemí DeCastro-García, Angel Luis Muñoz Castañeda, David Escudero García, Wiyada Kumam   +5 more
wiley   +1 more source

Common fixed point theorems for semigroups on metric spaces

International Journal of Mathematics and Mathematical Sciences, 1999
This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f(y))≤φ(δ(Of (x,y))) for f∈S and x,y in M, where δ ...
Young-Ye Huang, Chung-Chien Hong
doaj   +1 more source

Optimal Control Analysis and Simulation of a Mathematical Model for Recurrent Malaria Dynamics via the Caputo Fractional‐Order Derivative

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
The Caputo fractional derivative is employed to investigate the role of memory effects in modeling the transmission dynamics of recurrent malaria in interacting human–vector populations. The model generalizes an existing classical version accounting for the three major forms of recurrent malaria, including re‐infection, recrudescence, and relapse.
Sulaimon F. Abimbade, Furaha M. Chuma, Adekunle O. Sangotola, Ramoshweu S. Lebelo, Samson Olaniyi, Md. Kamrujjaman   +5 more
wiley   +1 more source

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +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

Necessary and Sufficient Condition for Mann Iteration Converges to a Fixed Point of Lipschitzian Mappings

Journal of Applied Mathematics, 2012
Suppose that E is a real normed linear space, C is a nonempty convex subset of E, T:C→C is a Lipschitzian mapping, and x*∈C is a fixed point of T. For given x0∈C, suppose that the sequence {xn}⊂C is the Mann iterative sequence defined by xn+1=(1-αn)xn ...
Chang-He Xiang, Jiang-Hua Zhang, Zhe Chen   +2 more
doaj   +1 more source

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

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source

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

Lipschitzian selections in approximation from nonconvex sets of bounded functions [PDF]

, 1989
Consider the problem of finding a best uniform approximation to a function ƒ from a nonconvex set K in the space of bounded functions. Conditions are developed on K so that the operator mapping ƒ to one of its best approximations ƒ′ is Lipschitzian with ...
Ubhaya, Vasant A
core   +1 more source