TY - GEN AU - Du,Wei-Shih AU - Chu,Liang-Ju AU - He,Fei AU - Precup,Radu AU - Du,Wei-Shih AU - Chu,Liang-Ju AU - He,Fei AU - Precup,Radu TI - Nonlinear Analysis and Optimization with Applications SN - books978-3-0365-2046-9 PY - 2022/// CY - Basel PB - MDPI - Multidisciplinary Digital Publishing Institute KW - Research & information: general KW - bicssc KW - Mathematics & science KW - best proximity point KW - fixed point KW - monotone mappings KW - relatively cyclic nonexpansive mappings KW - partially ordered Banach spaces KW - modified BBM equations KW - (3+1)-dimensional equations KW - white noise KW - Brownian motion KW - travelling wave solutions KW - wick-type stochastic KW - admissible spaces KW - hybrid contraction KW - interpolative contraction KW - b-metric spaces KW - simulation function KW - m-metric space KW - proximal αp-admissible KW - αp-admissible weak (F,φ)-proximal contraction KW - G-proximal graphic contraction KW - φ-best proximity point KW - Fourier data KW - reconstruction KW - multivariate approximation KW - piecewise smooth KW - projection methods KW - strong convergence KW - extragradient method KW - monotone mapping KW - variational inequalities KW - critical index KW - relaxation time KW - time-translation invariance breaking and restoration KW - market crash KW - COVID-19 KW - Gompertz approximants KW - split common null point KW - resolvent KW - metric resolvent KW - split minimization problem KW - split equilibrium problem KW - Banach space KW - multiple-sets split feasibility problem KW - strictly pseudocontractive mappings KW - nonexpansive mappings KW - viscossity iterative scheme KW - fixed point problem KW - n-Banach space KW - cubic mappings KW - quartic mappings KW - the generalized Hyers-Ulam stability KW - maximal element KW - sizing-up function KW - μ-bounded quasi-ordered set KW - critical point KW - fuzzy mapping KW - Ekeland's variational principle KW - Caristi's fixed point theorem KW - Takahashi's nonconvex minimization theorem KW - essential distance N1 - Open Access N2 - Nonlinear analysis has wide and significant applications in many areas of mathematics, including functional analysis, variational analysis, nonlinear optimization, convex analysis, nonlinear ordinary and partial differential equations, dynamical system theory, mathematical economics, game theory, signal processing, control theory, data mining, and so forth. Optimization problems have been intensively investigated, and various feasible methods in analyzing convergence of algorithms have been developed over the last half century. In this Special Issue, we will focus on the connection between nonlinear analysis and optimization as well as their applications to integrate basic science into the real world UR - https://mdpi.com/books/pdfview/book/4843 UR - https://directory.doabooks.org/handle/20.500.12854/78751 ER -