The purpose of this article is to establish fixed point results for a pair of α∗-dominated fuzzy mappings fulfilling generalized locally new α∗- ψ-Ćirić type rational contractive conditions on a closed ball in complete dislocated metric spaces. Example and application are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature.
AliM.U.,KamranT. and KarapnarE.,Further discussion on modified multivalued α* - ψ-contractive type mapping,Filomat29(8) (2015),1893–1900.
2.
AloA.S.M.,Al-MazrooeiA.E.,LeyewB.T. and AbbasM.,Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space,J Nonlinear Sci Appl10(7) (2017),3456–3476.
3.
ArshadM.,KadelburgZ.,RadenovićS.,ShoaibA. and ShuklaS.,Fixed Points of α-Dominated Mappings on Dislocated Quasi Metric Spaces,Filomat31(11) (2017),3041–3056.
4.
ArshadM.,ShoaibA. and VetroP.,Common Fixed Points of a Pair of Hardy Rogers Type Mappings on a Closed Ball in Ordered Dislocated Metric Spaces,Journal of Function Spaces2013 (2013), Article ID 63818.
5.
AslJ.H.,RezapourS. and ShahzadN.,On fixed points of α - ψ contractive multifunctions,Fixed Point Theory Appl2012 (2012),212.
6.
BotaM.F.,ChifuC. and KarapinarE.,Fixed point theorem for generalized ( α* - ψ) Ćirić-type contractive multivalued operator in b- metric spaces,J Nonlinear Sci Appl9 (2016),1165–1177.
7.
BojorF.,Fixed point theorems for Reich type contraction on metric spaces with a graph,Nonlinear Anal75 (2012),3895–3901.
8.
ButnariuD.,Fixed point for fuzzy mapping,Fuzzy Sets Systems7 (1982),191–207.
9.
CiricL.B.,A Generalization of Banach’s Contraction Principle,Proc Amer Math Soc45 (1974),267–273.
10.
CiricL.B.,Generalized contractions and fixed point theorems,Publications of the Institute of Mathematics12 (1971),19–26.
11.
HeilpernS.,Fuzzy mappings and fixed point theorem,Journal of Mathematical Analysis and Applications83(2) (1981),566–569.
12.
HitzlerP. and SedaA.K.,Dislocated Topologies,Journal of Electrical Engineering51(12/s) (2000),3–7.
13.
HussainN.,AhmadJ. and AzamA.,Generalized fixed point theorems for multi-valued α - ψ -contractive mappings,J Inequalities and Appl2014 (2014),348.
14.
HussainN.,Al-MezelS.,SalimiP., Fixed points for ψ - graphic contractions with application to integral equations, Abstract and Applied Analysis, Volume 2013, Article ID 575869.
15.
JachymskiJ.,The contraction principle for mappings on a metric space with a graph,Proc Amer Math Soc1(136) (2008),1359–1373.
16.
KarapnarE.,PiriH.,AlsulamiH.H., Fixed points of modified F-contractive mappings in complete metric-like spaces, Journal of Function Spaces, Volume 2015, Article ID 270971, pp. 9.
17.
MatthewsS.G.,Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applicationn,New York Acad Sci728 (1994),183–197.
RashamT.,ShoaibA.,HussainN. and ArshadM.,Fixed point results for a pair of α*-dominated multivalued mappings with applications,U.P.B. Sci Bull, Series A81(3),2019.
20.
RashamT.,ArshadM. and KhanS.U.,Fixed point results on closed ball for a new rational type contraction mapping in complete dislocated metric spaces,Turkish Journal of Analysis and Number Theory5 (2017),86–92.
21.
RashamT.,ShoaibA.,ArshadM. and KhanS.U.,Fixed point results for a pair of multivalued mappings on closed ball for new rational type contraction in dislocated metric spaces,J Inequal Spec Functs8 (2017),74–85.
22.
SenapatiT. and DeyL.K.,Common fixed point theorems for multivalued β* - ψ -contractive mappings,Thai J Math15(3) (2017),747–759.
23.
ShahzadA.,ShoaibA.,KhammahawongK.,KumamP., New Ciric Type Rational Fuzzy F-Contraction for Common Fixed Points, Springer Nature Switzerland AG, ECONVN (2019), SCI 809, pp. 215–229.
24.
ShahzadA.,ShoaibA. and MahmoodQ.,Fixed Point Theorems for Fuzzy Mappings in b- Metric Space,Italian Journal of Pure and Applied Mathematics38 (2017),419–427.
25.
ShoaibA.,KumamP.,ShahzadA.,PhiangsungnoenS. and MahmoodQ.,Fixed point results for fuzzy mappings in a b-metric space,Fixed Point Theory and Applications2018 (2018),2.
26.
ShoaibA.,α - η Dominated Mappings and Related Common Fixed Point Results in Closed Ball,J Concr Appl Math13(1-2) (2015),152–170.
27.
ShoaibA.,HussainA.,ArshadM. and AzamA.,Fixed point results for α* - ψ - Ćirić type multivalued mappings on an intersection of a closed ball and a sequence with graph,J Math Anal7 (2016),41–50.
28.
ShoaibA.,Fixed Point Results for α* - ψ -multivalued Mappings,Bull Math Anal Appl8(4) (2016),43–55.
29.
ShoaibA.,ArshadM.,RashamT. and AbbasM.,Unique fixed point results on closed ball for dislocated quasi G-metric spaces,Transactions of A. Razmadze Mathematical Institute171(2) (2017),221–230.
30.
ShoaibA.,RashamT.,HussainN. and ArshadM.,α*-dominated set-valued mappings and some generalised fixed point results,Journal of the National Science Foundation of Sri Lanka47(2),2019.
31.
TiammeeJ. and SuantaiS.,Coincidence point theorems for graph-preserving multi-valued mappings,Fixed Point Theory Appl2014 (2014),70.
32.
WeissM.D.,Fixed points and induced fuzzy topologies for fuzzy sets,J Math Anal Appl50 (1975),142–150.
33.
ZadehL.A.,Fuzzy Sets,Information and Control8(3) (1965),338–353.
