Existence theorems for the implicit complementarity problem by G. Isac, D. Goeleven

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Existence theorem of finite krasner hyperfields by Yuming Feng, Surdive Atamewoue Tsafack, Ogadoa Amassayoga, Babatunde Oluwaseun Onasanya

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Existence Theorems on Advanced Contractions with Applications by Sang Og Kim, Muhammad Nazam

“…We investigate their mutual relation and establish an existence theorem addressing FH+φ-contractions with some applications.…”
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications by Teffera M. Asfaw

“…The paper provides new existence theorems concerning solvability of inclusion problems involving operators of the type T+C provided that C is compact or T is of compact resolvents under weak boundary condition. …”
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Some Existence Theorems for Nonconvex Variational Inequalities Problems by Narin Petrot

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An existence theorem for optimal control with nonstandard cost functionals by R. N. Mukherjee, Shiv Prasad

“…An existence theorem for optimal control is obtained for a general nonstandard cost functional of fractional type in this work. …”
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Existence theorems for elliptic hemivariational inequalities involving the p-Laplacian by Nikolaos S. Papageorgiou, Nikolaos C. Kourogenis

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A remark on Gwinner's existence theorem on variational inequality problem by V. Vetrivel, S. Nanda

“…Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. …”
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels by Ezzat R. Hassan

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On the Existence Theorems of Equilibrium and Quasi-Equilibrium Problems in Different Spaces by Ali Farajzadeh, Mahmood Ghobadi, Jen-Chih Yao

“…Moreover, by using the famous results for the minimum points of a function, some existence theorems, by using the triangle property, of solutions for EP and QEP are given when the domains of bifunctions are compact and not compact. …”
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Existence Theorems of ε-Cone Saddle Points for Vector-Valued Mappings by Tao Chen

“…Then, by using the existence theorem of ε-vector equilibrium problem, a weakly ε-cone saddle point theorem is also obtained for vector-valued mappings.…”
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The Existence Theorems of an Optimal Approximate Solution for Generalized Proximal Contraction Mappings by Wutiphol Sintunavarat, Poom Kumam

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Existence Theorems for Vector Equilibrium Problems via Quasi-Relative Interior by Capătă Adela Elisabeta

“…The aim of this paper is to present new existence theorems for solutions of vector equilibrium problems, by using weak interior type conditions and weak convexity assumptions.…”
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Comment on “Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels” by Krzysztof A. Topolski

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A New Method for Proving Existence Theorems for Abstract Hammerstein Equations by C. E. Chidume, C. O. Chidume, Ma’aruf Shehu Minjibir

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A general existence theorem for a multi-valued control problem by Emamizadeh, Behrouz, Liu, Yichen, Zivari-Rezapour, Mohsen

“…In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak$^\star $ closure of the set containing all the multi-valued controls and the bathtub principle. …”
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Unique Existence Theorem of Solution of Almost Periodic Differential Equations on Time Scales by Meng Hu, Lili Wang

“…By using the theory of calculus on time scales and M-matrix theory, the unique existence theorem of solution of almost periodic differential equations on almost periodic time scales is established. …”
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An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions by Bashir Ahmad, Sotiris K. Ntouyas

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Existence Theorems for Hybrid Fractional Differential Equations with ψ-Weighted Caputo–Fabrizio Derivatives by Mohammad Alshammari, Saleh Alshammari, Mohammed S. Abdo

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The product and existence theorems for analytic functions in a polydisc of bounded $L$-index in direction by A.I. Bandura, I.M. Hural, L.M. Shehda, O.B. Skaskiv, L.R. Smolovyk

“…Here $L$ is some positive continuous function which is defined in the unit polydics and its value at any point from the polydisc is greater than reciprocal of distance from the point to skeleton of the polydisc. The existence theorem demonstrates the generality of the class: for every analytic function with bounded multiplicities of zeros at every slice in given direction from the unit polydisc there exists such a positive continuous function $L$ that the primary analytic function has bounded $L$-index in the same direction. …”
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