Dr. Piyanan Pasom

Lecturer

Ph.D.(Mathematics), Chiang Mai University, Thailand

Office : B 207/4

Tel : 0-2201-5540

Fax : 0-2201-5343

Email : piyanan.pas@mahidol.ac.th

Research Activities

Areas of Expertise

Functional Analysis; fixed point theory in generalized metric spaces  and geodesic spaces

Current Interest and Activities

My recent and current research activities involve the following problems.

  1. Proof of the existence and convergence theorem for the fixed points of the generalized nonexpansive mappings such as quasi-nonexpansive mappings, and total asymptotically nonexpansive mappings in the generalized metric spaces such as the metric space equipped with graphs.
  2. Study of the common fixed points of a family of multi-valued mappings such as quasi-nonexpansive mappings in the generalized metric space of geodesic spaces, and improving the iterations to approximate these common fixed points.
  3. Study of the common attractive points of a family of further generalized hybrid mappings in the generalized metric spaces.

Recent Publications

  1. B. Panyanak, P. Pasom, Common Fixed Points for Asymptotic Pointwise Nonexpansive Mapping, ; Fixed Point Theory, 14(2013), No. 1, 151-160.
  2. P. Pasom, B. Panyanak, Common Fixed Points for Asymptotic Pointwise Nonexpansive Mapping in Metric and Banach Spaces, Journal of Applied Mathematics, Volume 2012(2012), Article ID 327434, 17 pages doi: 10.1555/2012/327434.
  3. Piyanan Pasom and Asawathep Cuntavepanit, On the Strong and delta-convergence of NSP-iteration on CAT(0) spaces, Thai Journal of mathematics, online ISSN 1686-0209