04034nam 2200985z- 450 991055778280332120210501(CKB)5400000000045561(oapen)https://directory.doabooks.org/handle/20.500.12854/68991(oapen)doab68991(EXLCZ)99540000000004556120202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierApplied Functional Analysis and Its ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (184 p.)3-03936-776-5 3-03936-777-3 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.Mathematics and SciencebicsscResearch and information: generalbicsscalgebraic interiorasymptotically nonexpansive mappingbenson proper efficiencycommon fixed pointconjugate gradient methodcontractionFan-KKM theoremfixed pointfractional calculusfractional differential equationshigher-order mond-weir type dualhigher-order weak adjacent epiderivativeshybrid contractionshybrid projectionhyperspaceinclusion probleminertial Manninertial-like subgradient-like extragradient method with line-search processinformal normsinformal open setslimiting (p,r)-α-(η,θ)-invexityLipschitz continuitymethod with line-search processmodified implicit iterative methods with perturbed mappingnonexpansive mappingnonlinear scalarizing functionalnull setopen ballspseudocontractive mappingpseudomonotone variational inequalitypseudomonotone variational inequality problemsequentially weak continuityset optimizationset relationsset-valued optimization problemsshrinking projectionsignal processingsteepest descent methodstrict pseudo-contractionstrictly pseudocontractive mappingstrictly pseudocontractive mappingsstrongly convergencestrongly pseudocontractive mappingvariational inequality problemvector closurevector optimization problemsvector variational-like inequalitiesvolterra fractional integral equationsweakly continuous duality mappingψ-fractional integralsMathematics and ScienceResearch and information: generalYao Jen-Chihedt1332372Shahram Rezapour ShahramedtYao Jen-ChihothShahram Rezapour ShahramothBOOK9910557782803321Applied Functional Analysis and Its Applications3040902UNINA