04009nam 2200973z- 450 991055778280332120231214133129.0(CKB)5400000000045561(oapen)https://directory.doabooks.org/handle/20.500.12854/68991(EXLCZ)99540000000004556120202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierApplied Functional Analysis and Its ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic 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.Research & information: generalbicsscMathematics & sciencebicsscvector variational-like inequalitiesvector optimization problemslimiting (p,r)-α-(η,θ)-invexityLipschitz continuityFan-KKM theoremset-valued optimization problemshigher-order weak adjacent epiderivativeshigher-order mond-weir type dualbenson proper efficiencyfractional calculusψ-fractional integralsfractional differential equationscontractionhybrid contractionsvolterra fractional integral equationsfixed pointinertial-like subgradient-like extragradient method with line-search processpseudomonotone variational inequality problemasymptotically nonexpansive mappingstrictly pseudocontractive mappingsequentially weak continuitymethod with line-search processpseudomonotone variational inequalitystrictly pseudocontractive mappingscommon fixed pointhyperspaceinformal open setsinformal normsnull setopen ballsmodified implicit iterative methods with perturbed mappingpseudocontractive mappingstrongly pseudocontractive mappingnonexpansive mappingweakly continuous duality mappingset optimizationset relationsnonlinear scalarizing functionalalgebraic interiorvector closureconjugate gradient methodsteepest descent methodhybrid projectionshrinking projectioninertial Mannstrongly convergencestrict pseudo-contractionvariational inequality probleminclusion problemsignal processingResearch & information: generalMathematics & scienceYao Jen-Chihedt1332372Shahram Rezapour ShahramedtYao Jen-ChihothShahram Rezapour ShahramothBOOK9910557782803321Applied Functional Analysis and Its Applications3040902UNINA