Nonlinear Analysis and Convex Analysis
RIMS Workshop, September 2–4, 2019

PROGRAM
Each name flagged with an asterisk is the speaker of the talk.
Sep. 2 (Mon)9:30–9:35
9:35–10:00
10:00–10:25

10:40–11:10

11:10–11:35

Wataru Takahashi (Keio University)
Opening Address
Shin-ya Matsushita (Akita Prefectural University)
On splitting methods for monotone operators
Takanori Ibaraki (Yokohama National University)
Weak and strong convergence theorems for a family of nonlinear mappings in aHilbert space
Do Sang Kim (Pukyong National University)
Approximate Optimality Conditions in Fractional Semi-infinite Multiobjective Optimization
Zhe Hong (Pukyong National University)
On optimality conditions in robust optimization problems with locally Lipschitz
constraints

Lunch
13:00–13:30

13:30–15:55
14:10–14:35
14:35–15:00
15:00–15:30
15:45–16:15
16:15–16:45

Jong Soo Jung (Dong-A University)
Convergence of some iterative methods for monotone inclusion, variational inequality and fixed point problems
Kazuki Seto*, Daishi Kuroiwa (Shimane University)
A fixed set theorem for set-to-set mappings
Toshiharu Kawasaki (Nihon University)
Fixed point and its iteration theorems of new mappings in Banach spaces
Yukio Takeuchi (Takahashi Institute for Nonlinear Analysis)
A new type of fixed point theorem
Hyun-Min Kim (Pusan National University)
Noblinearity and Convexity on Matrix Equations
Sehie Park (Seoul National University)
Variational relation problems in abstract convex spaces
Wataru Takahashi (Keio University)
Strong Convergence Theorems by Hybrid Methods for Noncommutative Two Nonlinear Mappings in Banach Spaces

Sep. 3 (Tue)
9:30–9:55
9:55–10:20
10:35–11:05
11:05–11:35

Satoshi Suzuki (Shimane University)
Optimality conditions and constraint qualifications for quasiconvex programming
Daishi Kuroiwa (Shimane University)
A linear scalarization for set optimization and its prefered solutions
Gue Myung Lee (Pukyong National University)
On Learning System for Deep Neural Network
Jae Hyoung Lee (Pukyong National University)
Polynomial mathematical programs with equilibrium constraints and SDP relaxations

Lunch
13:00–13:30

13:30–14:00

14:15–14:40

Nimit Nimana (Khon Kaen University) and Narin Petrot* (Naresuan University)
Incremental proximal gradient algorithms for constrained composite convex optimization problems
Wiyada Kumam (Rajamangala University of Technology Thanyaburi), Habib urRehman and Poom Kumam (King Mongkut’s University of Technology Thonburi)
An inertial step on the extra gradient method for solving equilibrium problems
Sachiko Atsushiba (University of Yamanashi)
Fixed point property and convergence theorems for hybird-type mappings

14:40–15:05

15:05–15:30

15:45–16:10
16:10–16:35

Mayumi Hojo* (Shibaura Institute of Technology) and Wataru Takahashi (KeioUniversity)
Weak Convergence Theorem for Infinite Families of Extended Generalized Hybrid
Mappings in Banach Space
Atsumasa Kondo* (Shiga University) and Wataru Takahashi (Keio University)
Approximation of a Common Attractive Point of Noncommutative Normally 2Generalized Hybrid Mappings in Hilbert Spaces
Fumiaki Kohsaka (Tokai University)
Fixed point problems in complete CAT(1) spaces
Yasunori Kimura (Toho University)
Recent developments in convex analysis and fixed point approximation on geodesicspaces

Sep. 4 (Wed)
9:30–9:50
9:50–10:10
10:10–10:30

10:45–11:10
11:10–11:35

11:35–12:00

Yuto Ogata (Niigata University)
On set scalarization functions for Gordan-type theorems of the alternative
Koichiro Ike*, Tamaki Tanaka (Niigata University)
A comparative study on continuity notions for set-valued mappings
Liu MengXue*, Tamaki Tanaka (Niigata University)
Some kind of continuity properties on composite functions of set-valued maps andscalarizing functions
Koji Aoyama (Chiba University)
On a uniformly nonexpansive sequence
Mitsuhiro Hoshino (Akita Prefectural University)
On some conditions for ordering in learning process of one-dimensional arrayed selforganizing maps
Seiichi Iwamoto (Kyushu University), Yutaka Kimura* (Akita Prefectural University)
Semi-tridiagonal programming — complementary approach —Lunch
13:00–13:25
13:25–13:45
13:55–14:15
14:15–14:30

14:30–14:45

Toshikazu Watanabe (Meiji University)
Note on solutions of boundary value problems for fractional order beam equations
Hiroyuki Ohtani*, Daishi Kuroiwa (Shimane University)
Constraint Qualification for KKT condition by Basic subdiﬀerential
Koji Okano*, Daishi Kuroiwa (Shimane University)
Observation for Lagrange-type duality of canonical DC optimization
Koki Ishibasi*, Daishi Kuroiwa (Shimane University)
Connection between the basic constraint qualification and the the conical EHP inconvex optimization
Satoru Nishida*, Daishi Kuroiwa (Shimane University)
Observation on constraint qualifications in a class of convex optimization