SOME COMMON FIXED POINT RESULTS IN NON-NORMAL CONE METRIC SPACES
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 193-202.

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The aim of this paper is to obtain extended variants of some common fixed point results in cone metric spaces in the case that the underlying cone is not normal. The first result concerns g-quasicontractions of D. Ilić and V. Rakočević [Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2008), 876-882], and the second is concerned with Hardy-Rogers-type conditions and extends some recent results of M. Abbas, B. E. Rhoades and T. Nazir [Common fixed points for four maps in cone metric spaces, Appl. Math. Comput. 216 (2010), 80-86].
DOI : 10.22436/jnsa.003.03.06
Classification : 47H10, 54H25
Keywords: Common fixed point, ordered Banach space, cone metric space, normal and non-normal cone, weakly compatible mappings.

KADELBURG , ZORAN  1 ; RADENOVIĆ, STOJAN 2

1 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Beograd, Serbia
2 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia
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KADELBURG , ZORAN ; RADENOVIĆ, STOJAN. SOME COMMON FIXED POINT RESULTS IN NON-NORMAL CONE METRIC SPACES. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 193-202. doi : 10.22436/jnsa.003.03.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.06/

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