Applied Functional Analysis and Its Applications

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: algebraic interior; asymptotically nonexpansive mapping; benson proper efficiency; common fixed point; conjugate gradient method; contraction; Fan-KKM theorem; fixed point; fractional calculus; fractional differential equations; higher-order mond-weir type dual; higher-order weak adjacent epiderivatives; hybrid contractions; hybrid projection; hyperspace; inclusion problem; inertial Mann; inertial-like subgradient-like extragradient method with line-search process; informal norms; informal open sets; limiting (p; Lipschitz continuity; Mathematics and Science; method with line-search process; modified implicit iterative methods with perturbed mapping; nonexpansive mapping; nonlinear scalarizing functional; null set; open balls; pseudocontractive mapping; pseudomonotone variational inequality; pseudomonotone variational inequality problem; r)-α-(η; Reference, Information and Interdisciplinary subjects; Research and information: general; sequentially weak continuity; set optimization; set relations; set-valued optimization problems; shrinking projection; signal processing; steepest descent method; strict pseudo-contraction; strictly pseudocontractive mapping; strictly pseudocontractive mappings; strongly convergence; strongly pseudocontractive mapping; variational inequality problem; vector closure; vector optimization problems; vector variational-like inequalities; volterra fractional integral equations; weakly continuous duality mapping; θ)-invexity; ψ-fractional integrals
• DOI: 10.3390/books978-3-03936-777-1
• ISBN: 3039367765; 9783039367764; 3039367773; 9783039367771

Applied functional analysis has an extensive history. In the last century, this field has often been used in physical sciences, such as wave and heat phenomena. In recent decades, with the development of nonlinear functional analysis, this field has been used to model a variety of engineering, medical, and computer sciences. Two of the most significant issues in this area are modeling and optimization. Thus, we consider some recently published works on fixed point, variational inequalities, and optimization problems. These works could lead readers to obtain new novelties and familiarize them with some applications of this area.