Fixed point results for weakly α-admissible pairs | Zendy

Łjubomir Ćirić | Zendy; Vahid Parvaneh | Zendy; Nawab Hussain | Zendy

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Fixed point results for weakly α-admissible pairs

Author(s) -

Łjubomir Ćirić,

Vahid Parvaneh,

Nawab Hussain

Publication year - 2016

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/fil1614697c

Subject(s) - mathematics , coincidence point , metric space , coincidence , binary relation , graph , discrete mathematics , fixed point , point (geometry) , binary number , complete metric space , pure mathematics , combinatorics , mathematical analysis , geometry , arithmetic , medicine , alternative medicine , pathology

In this paper, we introduce the concepts of weakly and partially weakly $\alpha$-admissible pair of mappings and obtain certain coincidence and fixed point theorems for classes of weakly-$\alpha $-admissible contractive mappings in b-metric space. As an application, we derive some new coincidence and common fixed point theorems for ordered contractions in partially ordered b-metric spaces and deduce main results in \cite{Nashine, Samet} as corollaries. Moreover, some examples are provided here to illustrate the usability of the obtained results.

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