Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions by GuoLin Yu

“…In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. …”
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Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with a c-Distance by Wasfi Shatanawi, Erdal Karapınar, Hassen Aydi

“…Cho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. …”
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Fixed Point Theory in α-Complete Metric Spaces with Applications by N. Hussain, M. A. Kutbi, P. Salimi

“…As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems for ψ-graphic-rational contractions. …”
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Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation by Mian Bahadur Zada, Muhammad Sarwar, Thabet Abdeljawad, Fahd Jarad

“…In this work, we introduce various Darbo-type F£-contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F£-expanding mapping and prove fixed point theorems under the Darbo-type F£-expanding mapping. …”
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Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces by Ting-jian Xiong, Heng-you Lan

“…The results of this paper improve and extend the corresponding main theorems in the literature.…”
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Game theory based trust management method for mobile ad hoc networks by Jing-jing GUO, Jian-feng MA, Qi LI, Tao WAN, Cong GAO, Liang ZHANG

“…A game model is proposed for the indirect trust information obtaining process.A suitable punishment mechanism and design the utility function for nodes in a MANET is given.Moreover，with evolutionary game theory，the trust evolution of nodes using replicator dynamic equation is analyzed and several theorems toillustrate preconditions under which each evolutionarily stable strategy can be achieved are proposed.Experiments verified the correctness and effectiveness of proposed method and simulated the dynamic evolutionary trend of the nodes under different parameters which experimentally proves the proposed theorems.…”
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Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps by Xiaohong Hu, Zhimiao Fang, Yunxuan Xiong

“…The concept of the well posedness for a special scalar problem is linked with strictly efficient solutions of vector optimization problem involving nearly convexlike set-valued maps. Two scalarization theorems and two Lagrange multiplier theorems for strict efficiency in vector optimization involving nearly convexlike set-valued maps are established. …”
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On Cauchy problems for fuzzy differential equations by D. N. Georgiou, I. E. Kougias

“…Existence and uniqueness theorems are proved for Cauchy problems of second-order fuzzy differential equations.…”
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Convexity and Monotonicity Preservation of Ternary 4-Point Approximating Subdivision Scheme by Ghazala Akram, M. Atta Ullah Khan, R. U. Gobithaasan, Maasoomah Sadaf, Muhammad Abbas

“…The methodology for extracting these conditions is explained in two theorems. These theorems prove that if the initial data is strictly convex and monotone and the derived conditions are satisfied, then the limiting curve generated by the proposed subdivision scheme will also be convex and monotone. …”
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Algorithmic Approach to the Split Problems by Ming Ma

“…This paper deals with design algorithms for the split variational inequality and equilibrium problems. Strong convergence theorems are demonstrated.…”
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Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras by Quanyuan Chen, Xiaochun Fang

“…The hereditary reflexivity of an algbra of this type can follow from theorems in this paper, but does not follow directly from the known theorems that, if a strictly cyclic operator algebra on Banach spaces is semisimple and abelian, then it is a hereditarily reflexive algebra.…”
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Uniqueness of nonlinear differential polynomials sharing simple and double 1-points by Indrajit Lahiri, Nintu Mandal

“…We prove two theorems on the uniqueness of nonlinear differential polynomials, one of which improves a result of Fang and Hong.…”
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Order extension of order monomorphisms on a preordered topological space by Ghanshyam Mehta

“…This paper proves Nachbin-type extension theorems for infinitely many functions on a topological space equipped with a preorder.…”
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A method of calculation of specific conductivity tensor of a anisotropic media by Vytautas Kleiza, Jonas Kleiza

“…This method is based on substantiation of uniqueness and existents theorems. …”
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On the symmetry axiom for values of nonatomic games by Dov Monderer, William H. Ruckle

“…Included are several theorems and examples.…”
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Best Proximity Point Results for Modified --Proximal Rational Contractions by N. Hussain, M. A. Kutbi, P. Salimi

“…Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. …”
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A note on subordination by Shigeyoshi Owa

“…The object of the present paper is to show some subordinate theorems with the aid of the result by Suffridge.…”
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Periodic Solutions for Autonomous (𝑞,𝑝)-Laplacian System with Impulsive Effects by Xiaoxia Yang, Haibo Chen

“…By using the variational method, some existence theorems are obtained for periodic solutions of autonomous (𝑞,𝑝)-Laplacian system with impulsive effects.…”
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Common stationary points for set-valued mappings by M. S. Kahn, K. R. Rao, Y. J. Cho

“…Several theorems on stationary points for set-valued mappings have obtained. …”
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Sobolev cohomology for locally polycylindrical domains by Patrick W. Darko

“…The Cauchy-Riemann equation is solved with LP-Sobolev space estimates and the result is used to obtain vanishing theorems on locally polycylindrical domains.…”
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