Fixed and common fixed point theorems in frame of quasi metric spaces under contraction condition based on ultra distance functions | Zendy

Wasfı Shatanawi | Zendy

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Fixed and common fixed point theorems in frame of quasi metric spaces under contraction condition based on ultra distance functions

Author(s) -

Wasfı Shatanawi

Publication year - 2018

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2018.5.6

Subject(s) - metric space , mathematics , fixed point , contraction (grammar) , frame (networking) , usability , fixed point theorem , metric (unit) , construct (python library) , discrete mathematics , pure mathematics , computer science , mathematical analysis , telecommunications , medicine , operations management , human–computer interaction , economics , programming language

. In this paper, we introduce the notion of ultra distance function. Based on the notion of ultra distance function, we introduce the definitions of (k, ψ, L)-quasi contractions of type (I) and type (II) in the frame of quasi metric spaces. We employ our new definitions to construct and prove many fixed and common fixed point results in the frame of quasi metric spaces. Our results extend and improve many exciting results in the literatures. Also, we introduce some examples and some applications in order to support the usability of our work.

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