TY - BOOK ID - 134127983 TI - Applied Functional Analysis and Its Applications AU - Yao, Jen-Chih AU - Shahram Rezapour, Shahram PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Research & information: general KW - Mathematics & science KW - vector variational-like inequalities KW - vector optimization problems KW - limiting (p,r)-α-(η,θ)-invexity KW - Lipschitz continuity KW - Fan-KKM theorem KW - set-valued optimization problems KW - higher-order weak adjacent epiderivatives KW - higher-order mond-weir type dual KW - benson proper efficiency KW - fractional calculus KW - ψ-fractional integrals KW - fractional differential equations KW - contraction KW - hybrid contractions KW - volterra fractional integral equations KW - fixed point KW - inertial-like subgradient-like extragradient method with line-search process KW - pseudomonotone variational inequality problem KW - asymptotically nonexpansive mapping KW - strictly pseudocontractive mapping KW - sequentially weak continuity KW - method with line-search process KW - pseudomonotone variational inequality KW - strictly pseudocontractive mappings KW - common fixed point KW - hyperspace KW - informal open sets KW - informal norms KW - null set KW - open balls KW - modified implicit iterative methods with perturbed mapping KW - pseudocontractive mapping KW - strongly pseudocontractive mapping KW - nonexpansive mapping KW - weakly continuous duality mapping KW - set optimization KW - set relations KW - nonlinear scalarizing functional KW - algebraic interior KW - vector closure KW - conjugate gradient method KW - steepest descent method KW - hybrid projection KW - shrinking projection KW - inertial Mann KW - strongly convergence KW - strict pseudo-contraction KW - variational inequality problem KW - inclusion problem KW - signal processing UR - https://www.unicat.be/uniCat?func=search&query=sysid:134127983 AB - 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. ER -