Open AccessSome new types multivalued F-contractions on quasi metric spaces and their fixed points
Author(s) -
Hatice Aslan Hançer,
Murat Olgun,
İshak Altun
Publication year - 2019
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2019.01.05
Subject(s) - metric space , mathematics , fixed point , contraction (grammar) , fixed point theorem , complete metric space , metric (unit) , pure mathematics , space (punctuation) , function (biology) , discrete mathematics , mathematical analysis , computer science , medicine , operations management , evolutionary biology , economics , biology , operating system
In this paper we present two new results for the existence of fixed points of multivalued mappings with closed values on quasi metric space. First we introduce the multivalued Fd-contraction on quasi metric space (X, d) and give a fixed point result related to this concept. Then taking into account the Q-function on a quasi metric space, we establish a Q-function version of this concept as multivalued Fq-contraction and hence we present a fixed point result to see the effect of Q-function to existence of fixed point of multivalued mappings on quasi metric space.