Fixed point and coincidence point theorems in b-metric spaces with applications | Zendy

Adrian Petruşel | Zendy; Gabriela Petruşel | Zendy; JenChih Yao | Zendy

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Fixed point and coincidence point theorems in b-metric spaces with applications

Author(s) -

Adrian Petruşel,

Gabriela Petruşel,

JenChih Yao

Publication year - 2017

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm1701199p

Subject(s) - mathematics , coincidence point , uniqueness , coincidence , fixed point theorem , metric space , fixed point , nonlinear system , pure mathematics , point (geometry) , contraction (grammar) , mathematical analysis , discrete mathematics , geometry , medicine , pathology , quantum mechanics , physics , alternative medicine

In this paper, we will consider the coincidence point problem for a pair of single-valued operators satisfying to some contraction and expansion type conditions. Existence, uniqueness and qualitative properties of the solution will be presented. The results are based on some fixed point theorems for nonlinear contractions in complete b-metric spaces. An application illustrates the theoretical results.

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