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

Anahtar Kelimeler:

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

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  • 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.