Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad

“…Without using the original Opial property of a Banach space E, we prove weak convergence theorems for the sequences produced by generalized Mann and Ishikawa iteration processes for Bregman asymptotic pointwise nonexpansive mappings in a reflexive Banach space E. …”
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Incompressible flows and the Boussinesq approximation: 50 years of CFD by Lappa, Marcello

“…We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics (CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation, smoothly blending a history of the field with an accessible exposition of the underlying mathematical rationale, supporting theorems and a survey of the landmark results on the subject. …”
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Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology by Marian Nowak

“…We study the relationship between important classes of (βσ,·F)-continuous linear operators T:Cb(X,E)→F (strongly bounded, unconditionally converging, weakly completely continuous, completely continuous, weakly compact, nuclear, and strictly singular) and the corresponding operator measures given by Riesz representing theorems. Some applications concerning the coincidence among these classes of operators are derived.…”
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Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side by Alexander Domoshnitsky, Alexander Lomtatidze, Abraham Maghakyan, Jiří Šremr

“…Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x),   u(t,c)=α(t) for t∈[a,b],  u(a,x)=β(x)  for  x∈[c,d] given on the rectangle [a,b]×[c,d] are established, where the linear operators l0, l1, l2 map suitable function spaces into the space of essentially bounded functions. …”
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Starlikeness associated with parabolic regions by Rosihan M. Ali

“…Subordination results for PS∗(ρ) are established, which yield sharp growth, covering, and distortion theorems. Sharp bounds for the first four coefficients are also obtained. …”
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Positive operators and approximation in function spaces on completely regular spaces by Francesco Altomare, Sabrina Diomede

“…Among other things, some new Korovkin-type theorems on function spaces on arbitrary topological spaces are obtained. …”
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Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations by Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi

“…The given result generalizes Darbo’s and Krasnoselskii’s theorems, which are connected with the vector measure of noncompactness. …”
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Positive Solutions for a Class of Third-Order Three-Point Boundary Value Problem by Xiaojie Lin, Zhengmin Fu

“…Using a specially constructed cone, the fixed point index theorems and Leray-Schauder degree, this work shows the existence and multiplicities of positive solutions for the nonlinear third-order boundary value problem. …”
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ON SOLVABILITY OF SOME BOUNDARY-VALUE PROBLEMS FOR THE NON-LOCAL POISS by B. Kh. Turmetov

“…The second problem is a generalization of periodic and antiperiodic boundary-value problems for circular domains. Theorems on the existence and uniqueness of solutions to the studied problems are proved. …”
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Attacking scheme against the permutation-based multi-polynomial scheme for pair-wise key establishment in wireless sensor networks by Ai-wen WANG, Tao WEN, Yong ZHANG, Feng-mei ZHU, Di WU

“…An attacking scheme was proposed against the permutation-based multi-polynomial scheme proposed by Guo,et al for pair-wise key establishment in wireless sensor networks.Attacks on polynomials were carried out by constructing a black-box to integrally solve the set of polynomials rather than a single polynomial.The results show that this scheme can break the symmetric polynomials and make the permutation of polynomials lose its function.The proven theorems and instance analysis indicate that the scheme proposed by Guo,et al can’t frustrate the large-scale node capture attack and can’t break the tolerance threshold of polynomials.Therefore,the scheme is insecure.…”
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Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints by Hamiden Khalifa, Dragan Pamučar, Seyyed Edalatpanah

“…Using the cut set concepts, the problem is converted into the complex programming. A number of basic theorems with proofs are established concerning the basic results for the fuzzy complex set of solutions for the F-CPP, and the optimality criteria of the saddle point for F-CPP with fuzzy cones is derived.…”
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Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime by Jie Yang, Xia Ma, Caiyun Liu

“…To the best of our knowledge, the results in Theorems 1.1–1.3 are new. In particular, the critical curve for exponents p,q in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. …”
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Tag's ownership transfer protocol based on quadratic residue by Rui XIE, Zhifeng HAO

“…A proprietary transfer protocol with higher security and lower cost was proposed.In order to ensure the communication entity authentication premise,two remainder theorems for information transmission encryption were used in the proposed protocol; in the process of mutual recognition of communication entities,the addition of random numbers could make the protocol effectively resist such attacks as replay and desynchronization.After the transfer of ownership occurs,new communication entities would be located.The authentication key needed to be dynamical,so as to reduce the storage space of communication entities.The performance comparison between the proposed protocol and other protocols for safety show that the proposed protocol has the security required for the transfer of ownership and low cost.…”
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Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces by Jinhua Zhu, Shih-Sen Chang, Min Liu

“…Under suitable conditions some strong convergence theorems are established in an uniformly smooth and strictly convex Banach space with Kadec-Klee property. …”
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Qualitative Analyses of Fractional Integrodifferential Equations with a Variable Order under the Mittag-Leffler Power Law by Mdi Begum Jeelani, Abeer S. Alnahdi, Mohammed A. Almalahi, Mohammed S. Abdo, Hanan A. Wahash, Nadiyah Hussain Alharthi

“…Next, we prove the existence and uniqueness of analytic results by application of Krasnoselskii’s and Banach’s fixed point theorems. Besides, the guarantee of the existence of solutions is shown by different types of Ulam-Hyer’s stability. …”
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A Study of the Anisotropic Static Elasticity System in Thin Domain by Yassine Letoufa, Salah Mahmoud Boulaaras, Hamid Benseridi, Mourad Dilmi, Asma Alharbi

“…We prove the convergence theorems for the transition 3D-2D when one dimension of the domain tends to zero. …”
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Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications by Uamporn Witthayarat, Yeol Je Cho, Poom Kumam

“…The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets (A+M2)−1(0) and (B+M1)−1(0), where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong convergence theorems for common solutions of the two sets above in a uniformly convex and 2-uniformly smooth Banach space. …”
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces by Aneta Sikorska-Nowak, Grzegorz Nowak

“…We prove two existence theorems for the integrodifferential equation of mixed type: x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds), x(0)=x0, where in the first part of this paper f, g, h, x are functions with values in a Banach space E and integrals are taken in the sense of Henstock-Kurzweil (HK). …”
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Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces by Junaid Ahmad, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad, Manuel de la Sen

“…We provide some strong and Δ-convergence theorems for this class of mappings under the Agarwal iterative process. …”
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A study of new fixed point results via hybrid contractions by Mohammed Shehu Shagari, Paul Oloche

“…Applications and examples are provided to support the assumptions of our  presented theorems. The results established herein extend some existing ideas in the corresponding literature. …”
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