高阪 史明

Kohsaka Fumiaki

  • 教授
  • 学位:博士(理学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematical Sciences
  • Graduate School of Science and Technology / Course of Science and Technology
  • Graduate School of Science / Course of Mathematics and Mathematical Sciences

詳細情報

研究キーワード

  • Convex Analysis
  • Nonlinear Analysis
  • Fixed Point Theory
  • Optimization Theory

研究分野

  • Natural sciences Basic analysis
  • Natural sciences Applied mathematics and statistics
  • Natural sciences Basic mathematics

論文

Two modified proximal point algorithms in geodesic spaces with curvature bounded above

Spherical nonspreadingness of resolvents of convex functions in geodesic spaces

Ray's theorem revisited: a fixed point free firmly nonexpansive mapping in Hilbert spaces

EXISTENCE AND APPROXIMATION OF COMMON FIXED POINTS OF TWO HYBRID MAPPINGS IN HILBERT SPACES

Weak convergence theorem for a sequence of quasinonexpansive type mappings

An implicitly defined iterative sequence for monotone operators in Banach spaces

Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings

Averaged sequences for nonspreading mappings in Banach spaces

Viscosity approximation process for a sequence of quasinonexpansive mappings

Uniform mean convergence theorems for hybrid mappings in Hilbert spaces

Strong convergence theorems for strongly relatively nonexpansive sequences and applications

Fixed point theorem for alpha-nonexpansive mappings in Banach spaces

PROXIMAL POINT METHODS FOR MONOTONE OPERATORS IN BANACH SPACES

所属学会

  • THE MATHEMATICAL SOCIETY OF JAPAN

共同研究・競争的資金等の研究課題

Study of vector fields and development of convex analysis on complete geodesic spaces

A study on fixed point problems in metric spaces with geodesic structure and its applications

Convex analysis on complete geodesic spaces using the techniques of fixed point theory

A study on nonlinear problems using convex analysis and fixed point theory

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