The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications | Zendy

Marwan Amin Kutbi | Zendy; Wutiphol Sintunavarat | Zendy

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The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications

Author(s) -

Marwan Amin Kutbi,

Wutiphol Sintunavarat

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/165434

Subject(s) - mathematics , coincidence point , fixed point theorem , metric space , fixed point , binary relation , contraction (grammar) , point (geometry) , discrete mathematics , pure mathematics , mathematical analysis , geometry , medicine

We introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of -distance and -admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of Kutbi, 2013, and several results in the literature

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