- 2021 - 2026 Study of vector fields and development of convex analysis on complete geodesic spaces
- 2015 - 2019 Convex analysis on complete geodesic spaces using the techniques of fixed point theory
- 2014 - 2017 Study on Set-Valued Inequalities based on Set-Valued Analysis and Convex Analysis and its Applications to Optimization Problems
- 2011 - 2015 The Study of Nonlinear Functional Analysis and Nonlinear Problems Based on Fixed Point Theory and Convex Analysis
- 2010 - 2014 Nonlinear analysis using the technique of set-valued analysis
- 2007 - 2010 The Study of Nonlinear Functional Analysis and Convex Analysis and its Applications Based on Optimization Theory and Fixed Point Theory
- 2007 - 2009 Equilibrium problem using the method of set-valued analysis
- 2004 - 2006 非線形関数解析学および集合値解析学の手法を用いた変分不等式問題の研究
- 2003 - 2006 Nonlinear functional analysis and nonlinear problems by using fixed point theory
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