COMMON FIXED POINT THEOREMS FOR MULTI-VALUED CONTRACTIONS SATISFYING GENERALIZED CONDITION(B) ON PARTIAL METRIC SPACES
Abstract
In this paper we prove two common xed point theorems for two pairs
of single and set valued mappings which satisfying a generalized contractive condition in complete partial metric spaces, our results generalize and improve some previous
results.
Keywords
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Abbas.M, Babu.G. V. R and Alemayehu.G.N, On common xed points of
weakly compatible mappings satisfying generalized condition, Filomat 25 9-
(2011)
Abbas.M and Ilic.D, Common xed points of generalized almost nonexpan-
sive mappings, Filomat 24:3 11-18(2010)
T. Abdeljawad.t, Karapinar.E and Tas.K, Existence and uniqueness of a
common xed point on partial metric spaces, Appl. Math. Lett. 24 1900-
(2011)
T. Abdeljawad.t, Karapinar.E and Tas.K, A generalized contraction princi-
ple with control functions on partial metric spaces, Comput. Math. Appl. 6,
-719(2012)
Ahmad.J, Azam.A and Arshad.M, Fixed points of multivalued mappings in
partial metric spaces, Fixed Point Theory Appl 2013, 2013:316(2013)
Altun.I, Sola.F and Simsek.H, Generalized contractions on partial metric
spaces, Topol. Appl. 157(18) 2778-2785(2010)
Altun.I and Ozlem.A, Fixed point theorems for weak contractions in the
sense of Berinde on partial metric spaces, Topol.Appl.159 2642-2648(2012)
Aydi.H, Some xed point results in ordered partial metric spaces,J. Nonlinear
Sci. Appl.4(3) 210-217(2011)
Aydi.H, M. Abbas.M and Vetro.C, Partial Hausdor metric and Nadler's
xed point theorem on partial metric spaces, Topol.Appl.159 3234-
(2012)
Aydi.H, Abbas.M and Vetro.C, Common xed points for multivalued gen-
eralized contractions on partial metric spaces, Rev. R. Acad. Cienc. Exac.
Fis. Nat. Ser. A Math.RACSAM 108 483-501(2014) doi10.1007/s13398-013-
-z
Aydi.H, S. Hadj Amor and Krapinar.E, Brinde-type generalized contrac-
tions on partial metric spaces, Abst. Appl. Ana, 2013 Article ID 312479, 10
pages(2013)
Aydi.H, Vetro.C, Sintunavarat.W and Kumam.P, Coincidence and xed
points for contractions and cyclical contractions in partial metric spaces,
Fixed Point Theory Appl 2012, 2012:124(2012)
Babu. G.V.R, Sandhy.M.L and Kameshwari.M.V.R A note on a xed point
theorem of Berinde on weak contractions, Carpathian J. Math 248-12 (2008)
Beg.I and Butt.A.R Coupled xed points of set valued mappings in partially
ordered metric spaces, J. Nonlinear Sci. Appl. 3(3)179-185 (2010)
Berinde.V, General constructive xed point theorems for Ciric-type almost
contractions in metric spaces, Carpathian J. Math.24 No.2, 10-19(2008)
Berinde.V,Some remarks on a xed point theorem for Ciric-type almost con-
tractions,Carpath. J. Math. 25, 157-162 (2009)
Berinde.V, Approximating xed points of implicit almost contractions, Hacet.
J. Math. Stat. 40 93-102(2012)
S.Beloul
Binayak S. Choudhury, N. Metiya,Fixed point theorems for almost contrac-
tions in partially ordered metric spaces, Ann Univ Ferrara 58:21-36(2012)
doi 10.1007/s11565-011-0144-2
Di Bari.C and Vetro.P, Fixed points for weak '-contractions on partial metric
spaces, Int. J. of Eng. Cont. Math. Sci 1 5-13(2011)
Erdurana.A, Kadelburgh.Z, Nashinec.H.K and vetrod.C, A fxed point the-
orem for (';L)-weak contraction mappings on a partial metric space, J.
Nonlinear Sci. Appl,7 196-204(2014)
Jungck.G and Rhoades.B.E, Fixed point for set valued functions without
continuity, Indian J.Pure Appl.Math.29(3), 227-238(1998)
Kaewcharoen.A and Yuyin.T, Unique common xed point theorems on par-
tial metric spaces, J. Nonlinear Sci. App 17, 90-101(2014)
Kamran.T, Coincidence and xed points for hybrid strict contractions, J.
Math. Anal. Appl. 299 (1) (2004) 235-241(2004)
Karapinar.E,Weak -contraction on partial metric spaces, J. Comput.Anal.
Appl 14,206-210(2012)
Karapinar.E, A note on common xed point theorems in partial metric
spaces, Miskolc.Math.Notes 12,185-191(2011)
Karapinar.E and Erhan.I.M, Fixed point theorems for operators on partial
metric spaces, Appl. Math. Lett. 24 1900-1904(2011)
E. Karapinar.E and Yuksel.U, Some Common Fixed Point Theorems in
Partial Metric Spaces, J. Appl. Math,Vol 2011, Article ID 263621, 16
pages.doi:10.1155/2011/263621
Matthews.S.G, Partial metric topology, in: Proc. 8th Summer Conference
on General Topology and Applications, in: Ann. New York Acad. Sci. 728
-197(1994)
S. B. Nadler, Multivalued contraction mappings, Pacic J. Math. 30 475-
(1969)
Shaddad.F, Md Noorani.M.S and Alsulami.S.M Common xed-point results
for generalized Berinde-type contractions which involve altering distance
functions,Fixed Point Theory Appl 2014, 2014:24(2014)
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