Fixed Point and Common Fixed Point Theorems for α-Property in Cone Ball-Metric Spaces

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Rajesh Shrivastava, Rajendra Kumar Dubey, Pankaj Tiwari, Animesh Gupta, Fixed Point and Common Fixed Point Theorems for α-Property in Cone Ball-Metric Spaces, Int. J. Anal. Appl., 2 (2) (2013), 137-146.

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Rajesh Shrivastava, Rajendra Kumar Dubey, Pankaj Tiwari, Animesh Gupta

Abstract

In this paper, we define a new cone ball-metric and get fixed points and common fixed points for the α- property in cone ball-metric spaces.

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References

  1. C.D. Aliprantis and R. Tourky, Cones and Duality, in: Graduate studies in Mathematics, Amer. Math. Soc. 84 (2007). 215-240.
  2. I. Beg, M. Abbas and T. Nazir, Generalized cone metric spaces, J. Nonlinear Sci. Appl. 3 (2010), no. 1, 23-31.
  3. L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 322 (2007), 1468-1476.
  4. A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326-329.
  5. Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear and Convex Anal. 7 (2006), no. 2, 289-297.
  6. C. Chen and P. Tsai, Fixed point and common fixed point theorems for the Meir-Keeler type functions in cone ball-metric spaces, Ann. Funct. Anal. 3 (2012), no. 2, 155-169.