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Symmetry in Mathematical Analysis and Functional Analysis

Symmetry in Mathematical Analysis and Functional Analysis

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The present reprint provides some theoretical results (and their applications) in the fields of mathematical analysis and functional analysis, in which the concept of symmetry plays an essential role. More specifically, various problems are investigated in areas, such as: optimization problems, polynomial approximation on unbounded subsets, moment problems, variational inequalities, evolutionary problems, dynamical systems, generalized convexity, partial differential equations, and special spaces of self-adjoint operators. With various examples and applications to complement and substantiate the mathematical developments, the present reprint is a valuable guide for researchers, engineers, and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science, and economics.

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Keywords

  • abstract interpolative Reich-Rus-Ćirić-type contractions with a shrink map
  • auxiliary functions
  • b-metric space
  • coincidence point
  • common fixed point
  • constrained minimization
  • convex operator
  • convex optimization
  • coordinated preinvex functions
  • differential equation with infinite delay
  • directed graph
  • edge-preserving
  • Environmental science, engineering & technology
  • extended rectangular b-metric space
  • fractional integral operator
  • free final end-point
  • fuzzy fractional integral operator
  • global well-posedness
  • Hahn–Banach type theorems
  • Hermite-Hadamard Fejér type inequality
  • Hermite-Hadamard type inequality
  • Hermite–Hadamard Fejér type inequality
  • Hermite–Hadamard inequalities
  • Hermite–Hadamard type inequality
  • History of engineering & technology
  • hybrid contractions
  • interpolative Kannan contraction
  • interval-valued functions
  • invex set
  • Jordan’s inequality
  • left and right convex interval-valued function
  • littlewood-paley decomposition
  • L’Hôpital’s rule of monotonicity
  • Markov moment problems
  • mixed constraints
  • multiobjective programming
  • n/a
  • non homogenous boussinesq equations
  • nonlinear programming
  • Optimal Control
  • polynomial bounds
  • preinvex fuzzy interval-valued function
  • relation-theoretic
  • saddle point
  • Sufficiency
  • symmetric operators
  • Technology, engineering, agriculture
  • Technology: general issues
  • Trigonometric functions
  • tripled fixed point
  • uniform boundedness
  • weak minima
  • ϕ-fixed points

Links

DOI: 10.3390/books978-3-0365-6590-3

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