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On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra

Year 2012, Volume: 41 Issue: 2, 211 - 222, 01.02.2012

Mahpeyker Öztürk Metin Başarır

Keywords

-

References

  • Abbas, M. and Rhoades, B. E. Fixed and periodic point results in cone metric spaces, Ap- plied Mathematics Letters 22 (4), 511–515, 2009.
  • Altun, I., Damjanovic, B. and Doric, D. Fixed point and common fixed point theorems on ordered cone metric spaces, Applied Mathematics Letters, 23, 310-316, 2010.
  • Bajaj, N. Some maps on unique common fixed points, Indian J. Pure App. Math. 15 (8), 843–848, 1984.
  • Fisher, B. Common Fixed Points and Constant Mappings Satisfying Rational Inequality (Math. Sem. Notes (Univ Kobe), 1978).
  • Fisher, B. and Khan, M. S. Fixed points, common fixed points and constant mappings, Studia Sci. Math. Hungar. 11, 467–470, 1978.
  • Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J.Math. Anal. Appl. 332, 1468–1476, 2007.
  • Imdad, M. and Ahmad, A. Four mappings with a common fixed point, Univ., u. Novom Sadu Zb. Rad. Prirod. Math. Fak. Ser Math. 24 (1), 23–30, 1994.
  • Jankovic, S., Golubovic, Z. and Radenovic, S. Compatible and weakly compatible mappings in cone metric spaces, Mathematical and Computer Modelling 52, 1728–1738, 2010.
  • Jeong, G. S. and Rhoades, B. E. Maps for which F (T ) = F (Tn), Fixed Point Theory and Aplications 6, 71–105, 2004.
  • Jungck, G. and Rhoades, B. E. Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2), 287–296, 2006.
  • Jungck, G. Compatible mappings and common fixed points, Internat I. Math & Math. Sci. 9, 771–779, 1986.
  • Jungck, G., Radenovic, S., Radojevic, S. and Rakocevic, V. Common fixed point theorems for weakly compatible pairs of cone metric spaces, Fixed Point Theory and Applications 2009, Article ID 643840, 13 pages.
  • Kadelburg, Z., Radenovic, S. and Rosic, B. Strict contractive conditions and common fixed point theorems in cone metric spaces, Fixed Point Theory and Applications 2009, Article ID 173838, 14 pages.
  • Kadelburg, Z., Radenovic, S. and Rakocevic, V. Remarks on “Quasi-Contractions on a Cone Metric Spaces”, Applied Mathematics Letters 22, 1674–1679, 2009.
  • Maddox, I. J. Elements of Functional Analysis (Cambridge University Press, Cambridge, 1970).
  • Rezapour, S. and Hamlbarani, R. Some note on the paper “Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings”, J. Math. Anal. Appl. 345, 719–724, 2008.
  • Rudin, W. Functional Analysis (Second Edition, McGraw-Hill International Editions, 1991). [18] Sessa, S. On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46), 149–153, 1982.

On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra

Year 2012, Volume: 41 Issue: 2, 211 - 222, 01.02.2012

Mahpeyker Öztürk Metin Başarır

Keywords

-

References

  • Abbas, M. and Rhoades, B. E. Fixed and periodic point results in cone metric spaces, Ap- plied Mathematics Letters 22 (4), 511–515, 2009.
  • Altun, I., Damjanovic, B. and Doric, D. Fixed point and common fixed point theorems on ordered cone metric spaces, Applied Mathematics Letters, 23, 310-316, 2010.
  • Bajaj, N. Some maps on unique common fixed points, Indian J. Pure App. Math. 15 (8), 843–848, 1984.
  • Fisher, B. Common Fixed Points and Constant Mappings Satisfying Rational Inequality (Math. Sem. Notes (Univ Kobe), 1978).
  • Fisher, B. and Khan, M. S. Fixed points, common fixed points and constant mappings, Studia Sci. Math. Hungar. 11, 467–470, 1978.
  • Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J.Math. Anal. Appl. 332, 1468–1476, 2007.
  • Imdad, M. and Ahmad, A. Four mappings with a common fixed point, Univ., u. Novom Sadu Zb. Rad. Prirod. Math. Fak. Ser Math. 24 (1), 23–30, 1994.
  • Jankovic, S., Golubovic, Z. and Radenovic, S. Compatible and weakly compatible mappings in cone metric spaces, Mathematical and Computer Modelling 52, 1728–1738, 2010.
  • Jeong, G. S. and Rhoades, B. E. Maps for which F (T ) = F (Tn), Fixed Point Theory and Aplications 6, 71–105, 2004.
  • Jungck, G. and Rhoades, B. E. Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2), 287–296, 2006.
  • Jungck, G. Compatible mappings and common fixed points, Internat I. Math & Math. Sci. 9, 771–779, 1986.
  • Jungck, G., Radenovic, S., Radojevic, S. and Rakocevic, V. Common fixed point theorems for weakly compatible pairs of cone metric spaces, Fixed Point Theory and Applications 2009, Article ID 643840, 13 pages.
  • Kadelburg, Z., Radenovic, S. and Rosic, B. Strict contractive conditions and common fixed point theorems in cone metric spaces, Fixed Point Theory and Applications 2009, Article ID 173838, 14 pages.
  • Kadelburg, Z., Radenovic, S. and Rakocevic, V. Remarks on “Quasi-Contractions on a Cone Metric Spaces”, Applied Mathematics Letters 22, 1674–1679, 2009.
  • Maddox, I. J. Elements of Functional Analysis (Cambridge University Press, Cambridge, 1970).
  • Rezapour, S. and Hamlbarani, R. Some note on the paper “Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings”, J. Math. Anal. Appl. 345, 719–724, 2008.
  • Rudin, W. Functional Analysis (Second Edition, McGraw-Hill International Editions, 1991). [18] Sessa, S. On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46), 149–153, 1982.
There are 17 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Mahpeyker Öztürk

Metin Başarır This is me

Publication Date February 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 2

Cite

APA Öztürk, M., & Başarır, M. (2012). On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra. Hacettepe Journal of Mathematics and Statistics, 41(2), 211-222.
AMA Öztürk M, Başarır M. On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra. Hacettepe Journal of Mathematics and Statistics. February 2012;41(2):211-222.
Chicago Öztürk, Mahpeyker, and Metin Başarır. “On Some Common Fixed Point Theorems With Rational Expressions on Cone Metric Spaces over a Banach Algebra”. Hacettepe Journal of Mathematics and Statistics 41, no. 2 (February 2012): 211-22.
EndNote Öztürk M, Başarır M (February 1, 2012) On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra. Hacettepe Journal of Mathematics and Statistics 41 2 211–222.
IEEE M. Öztürk and M. Başarır, “On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, pp. 211–222, 2012.
ISNAD Öztürk, Mahpeyker - Başarır, Metin. “On Some Common Fixed Point Theorems With Rational Expressions on Cone Metric Spaces over a Banach Algebra”. Hacettepe Journal of Mathematics and Statistics 41/2 (February 2012), 211-222.
JAMA Öztürk M, Başarır M. On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra. Hacettepe Journal of Mathematics and Statistics. 2012;41:211–222.
MLA Öztürk, Mahpeyker and Metin Başarır. “On Some Common Fixed Point Theorems With Rational Expressions on Cone Metric Spaces over a Banach Algebra”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, 2012, pp. 211-22.
Vancouver Öztürk M, Başarır M. On some Common Fixed Point Theorems with Rational Expressions on Cone Metric Spaces over a Banach Algebra. Hacettepe Journal of Mathematics and Statistics. 2012;41(2):211-22.

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