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Cone Metric Space and Fixed Point Theorems for Pair of Generalized Contractive Mappings


Affiliations
1 Department of Mathematics, Dr. C.V. Raman University, Bilaspur (C.G.), India
     

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In his paper, we extend and generalize some common fixed point theorems for contractive mappings in cone metric spaces. Our results generalize several well known of recent results.

Keywords

Fixed Point, Common Fixed Point, Generalized Contractive Mapping, Complete Cone Metric Space, Ordered Banach Space.
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  • L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Application 332 (2007), 1468 – 1476.
  • S. Rezapour, Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorem of contractive mappings”, J. Maths. Anal. Appl., 345 (2008), 719 – 724
  • K. Deimling, Non linear Functional Analysis, Springer – Verlag 1985
  • B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 266 (1977), 257 – 290
  • M. Abbas, G. Jungek, Common fixed point results for non commuting mappings without continuity in con metric spaces, J. Maths. Anly. Appl. 341 (2008), 416 – 420
  • Dubey and A. Narayan, Cone metric space and Fixed point theorems for pair of contractive maps. Mathemetica Aeterna, Vol. 2, 2012, no. 839- 845.
  • Akbar Azam, Arshad and Ismat beg, Common fixed point theorem in cone metric spaces, The Journal of non linear science and applications 2(2009),204 – 213

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  • Cone Metric Space and Fixed Point Theorems for Pair of Generalized Contractive Mappings

Abstract Views: 390  |  PDF Views: 0

Authors

S. K. Tiwari
Department of Mathematics, Dr. C.V. Raman University, Bilaspur (C.G.), India
R. P. Dubey
Department of Mathematics, Dr. C.V. Raman University, Bilaspur (C.G.), India

Abstract


In his paper, we extend and generalize some common fixed point theorems for contractive mappings in cone metric spaces. Our results generalize several well known of recent results.

Keywords


Fixed Point, Common Fixed Point, Generalized Contractive Mapping, Complete Cone Metric Space, Ordered Banach Space.

References