Relatively Bounded Perturbations of a Closed Linear Relation and Its Adjoint by Guixin Xu

“…By using this result, two perturbation theorems for a closed relation and its adjoint are given. …”
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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces by Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel de la Sen

“…In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process. …”
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Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative by Dandan Yang, Chuanzhi Bai

“…By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. …”
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Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative by Xiaoyou Liu, Zhenhai Liu

“…Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. …”
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Minimum-Norm Fixed Point of Pseudocontractive Mappings by Habtu Zegeye, Naseer Shahzad, Mohammad Ali Alghamdi

“…Applications are also included. Our theorems improve several results in this direction.…”
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Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument by Siyu Zhang, Fanwei Meng

“…We present new oscillation criteria for the even order neutral delay differential equations with distributed deviating argument [r(t)ψ(x(t))Z(n−1)(t)]′+∫abp(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0,  t≥t0, where Z(t)=x(t)+q(t)x(t−τ). Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those by Wang et al. (2005).…”
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A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators by D. L. Suthar, Mitku Andualem, Belete Debalkie

“…Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. …”
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Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term by S. Manikandan, V. Muthulakshmi, S. Harikrishnan, Porpattama Hammachukiattikul

“…Examples are presented to emphasize the validity of the main theorems\enleadertwodots.…”
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On Some Interpolative Contractions of Suzuki Type Mappings by Andreea Fulga, Seher Sultan Yeşilkaya

“…We present some fixed point theorems for interpolative contraction operators using w-admissible maps which satisfy Suzuki type mappings. …”
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MODEL FOR CALCULATING EFFECTIVE PARAMETERS OF MATRIX COMPOSITES FROM BI-ISOTROPIC PARTICLES WITH REGARD MULTIPLE REFLECTIONS OF ELECTROMAGNETIC FIELD by V. T. Erofeenko

“…Under the calculations of parameters, taking into account a multiple scattering of the field between particles, a new type of addition theorems, connecting basic spherical electromagnetic fields relating to different particles, is used. …”
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Random fixed points and random differential inclusions by Nikolaos S. Papageorgiou

“…Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. …”
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Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order by Yi-An Chen, Dao-Jun Wen

“…We establish some weak and strong convergence theorems of fixed point for monotone generalized α-nonexpansive mapping in a uniformly convex Banach space with a partial order. …”
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Some Extensions of Fixed Point Results over Quasi-JS-Spaces by Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar

“…Our results unify and cover several existing fixed point theorems in distinct structures (such as standard quasi-metric spaces, quasi-b-metric spaces, dislocated quasi-metric spaces, and quasi-modular spaces) in the literature.…”
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On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

“…The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point. Ulam stability is also presented. …”
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Multivalued Impulsive SDEs Driven by G-Brownian Noise: Periodic Averaging Result by Mahmoud Abouagwa, Anas D. Khalaf, Nadia Gul, Sultan Alyobi, Al-Sharef Mohamed

“…This paper aims to study two approximation theorems in view of the periodic averaging results for non-Lipschitz multivalued stochastic differential equations with impulses and G-Brownian motion (MISDEGs). …”
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General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces by Peichao Duan

“…In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by Tian and Liu (2012) and many others. …”
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Locating real eigenvalues of a spectral problem in fluid-solid type structures by Heinrich Voss

“…Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. …”
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The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces by P. A. Krutitskii

“…The Dirichlet problem for the Laplace equation is a particular case of our problem. Theorems on existence and uniqueness of a weak solution of the problem are proved. …”
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Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems by Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon

“…The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. …”
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0n Fuzzy Soft (α,β)-class(Q)operator by Hanan Khalid

“…Additionally , we explore an extended version of several fuzzy soft class Q operator in this work , introduce fuzzy soft (a,b)class (Q) and fuzzy soft (a,b)normal operator. we also provide some theorems of operations related to these notions. …”
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