Best proximity point theorems for proximal multi-valued contractions | Zendy

Nuttawut Bunlue | Zendy; Yeol Cho | Zendy; Suthep Suantai | Zendy

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Best proximity point theorems for proximal multi-valued contractions

Author(s) -

Nuttawut Bunlue,

Yeol Cho,

Suthep Suantai

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2106889b

Subject(s) - mathematics , metric space , banach space , fixed point theorem , point (geometry) , complete metric space , space (punctuation) , discrete mathematics , pure mathematics , fixed point , mathematical analysis , geometry , computer science , operating system

In this paper, we introduce new classes of proximal multi-valued contractions in a metric space and proximal multi-valued nonexpansive mappings in a Banach space and show the existence of best proximity points for both classes. Further, for proximal multi-valued nonexpansive mappings, we prove a best proximity point theorem on starshape sets. As a consequence, we also obtain some new fixed point theorems. Finally, we give some examples to illustrate our main results.

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