Existence and Convergence Theorems of Best Proximity Points | Zendy

Moosa Gabeleh | Zendy; Naseer Shahzad | Zendy

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Existence and Convergence Theorems of Best Proximity Points

Author(s) -

Moosa Gabeleh,

Naseer Shahzad

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/101439

Subject(s) - mathematics , pointwise , pointwise convergence , banach space , regular polygon , convergence (economics) , pure mathematics , point (geometry) , mathematical analysis , discrete mathematics , geometry , computer science , approx , economics , economic growth , operating system

The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces

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