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A remarkable theorem of Mazur and Orlicz which generalizes the Hahn-Banach theorem is here put in a convenient form through an equality which will be referred to as the Mazur-Orlicz equality. Applications of the Mazur-Orlicz equality to lower barycenters for means, separation principles, Lax-Milgram lemma in reflexive Banach spaces, and monotone variational inequalities are provided.

Mean curvature and least energy solutions for the critical Neumann problem with weight

J. Chabrowski (2002)

Bollettino dell'Unione Matematica Italiana

In this paper we consider the Neumann problem involving a critical Sobolev exponent. We investigate a combined effect of the coefficient of the critical Sobolev nonlinearity and the mean curvature on the existence and nonexistence of solutions.

Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study

A. Pimenov, T.C. Kelly, A. Korobeinikov, M.J.A. O’Callaghan, A.V. Pokrovskii, D. Rachinskii (2012)

Mathematical Modelling of Natural Phenomena

Modification of behaviour in response to changes in the environment or ambient conditions, based on memory, is typical of the human and, possibly, many animal species.One obvious example of such adaptivity is, for instance, switching to a safer behaviour when in danger, from either a predator or an infectious disease. In human society such switching to safe behaviour is particularly apparent during epidemics. Mathematically, such changes of behaviour...

Minimax inequality of Ky Fan type in $H$ -spaces with applications.

Xu, Y., Wu, X. (1997)

Journal of Applied Analysis

Minimizing convex functions by continuous descent methods.

Aizicovici, Sergiu, Reich, Simeon, Zaslavski, Alexander J. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Minty variational inequalities and monotone trajectories of differential inclusions.

Crespi, Giovanni P., Rocca, Matteo (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Mixed approximation for nonexpansive mappings in Banach spaces.

Zhang, Qing-Bang, Xia, Fu-Quan, Liu, Ming-Jie (2010)

Abstract and Applied Analysis

Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.

Yang, He (2010)

Journal of Inequalities and Applications [electronic only]

Mixed variational inequalities and economic equilibrium problems.

Konnov, I.V., Volotskaya, E.O. (2002)

Journal of Applied Mathematics

Mixed variational-like inequality for fuzzy mappings in reflexive Banach spaces.

Kumam, Poom, Petrot, Narin (2009)

Journal of Inequalities and Applications [electronic only]

Modified block iterative algorithm for solving convex feasibility problems in Banach spaces.

Chang, Shih-Sen, Kim, Jong Kyu, Wang, Xiong Rui (2010)

Journal of Inequalities and Applications [electronic only]

Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities

Lulu Yin, Hongwei Liu, Jun Yang (2022)

Applications of Mathematics

We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the $R$-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate...

Modified hybrid algorithm for a family of quasi- $ϕ$ -asymptotically nonexpansive mappings.

Xu, Yongchun, Zhang, Xin, Kang, Jinlong, Su, Yongfu (2010)

Fixed Point Theory and Applications [electronic only]

Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi- $ϕ$ -asymptotically nonexpansive mappings.

Saewan, Siwaporn, Kumam, Poom (2010)

Abstract and Applied Analysis

Modified iterative algorithms for nonexpansive mappings.

Yao, Yonghong, Noor, Muhammad Aslam, Mohyud-Din, Syed Tauseef (2009)

Journal of Applied Mathematics and Stochastic Analysis

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