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Coincidence Points of Hybrid Functions on Cone Metric Spaces

Year 2012, Volume: 25 Issue: 3, 655 - 659, 19.07.2012

Abstract

In this paper, we obtain a common coincidence point theorem for  two pairs of hybrid functions on cone metric spaces.

References

  • Abbas M, and Jungck, G., “Common fixed point result for non commuting mappings without continuity in cone metric spaces”, J.Math.Anal.Appl. 341:416-420(2008).
  • Azam, A., Arshad M., and Beg., I., “Common fixed points of two maps in cone metric spaces”, Rend.Ciric.Mat.Palermo,57:433-441 (2008),
  • A.Azam,M.Arshad, “Common fixed points of generalized contractive maps in cone uniform spaces” , Bull.Iranian Math.Soc., 35(2) 255-264. (2009).
  • Arshad, M., Azam, A., Vetro, P., “Some common fixed point results in cone uniform spaces”, Fixed Point Theory and Appl. 2009,Article ID 493965,11 Pages,doi: 10.1155/2009/493965.
  • Bari C.Di, and Vetro. P., φ-pairs and common
  • fixed points in cone metric spaces”,
  • Rend.Ciric.Mat. Palermo,57:279-285 (2008).
  • Bari C.Di, and Vetro P., “Weakly φ-pairs and common fixed points in cone metric spaces” Ciric.Mat.Palermo,58 125-132 (2009).
  • Haghi, R.H., Rezapour, Sh., ”Fixed points of multifunctions on regular cone metric spaces”, Expo.Math.,28:71-77 (2010),
  • Harjani, J., Sadarangani, K., “Generalized contractions in partially ordered metric spaces and Applications to ordinary differential equations”, Nonlinear Analysis,72(2010),1188-1197.
  • L.G.Huang and X.Zhang., “Cone metric spaces and fixed point theorems of contractive mappings”, J.Math.Anal.Appl.332(2007), 1468- 1476.
  • D.Ilic and V.Rakocevic., “Common fixed point result for maps on cone metric spaces”, J.Math. Anal.Appl.341(2008), 867-882.
  • S.Jankovic,Z.Kadelburg,S.Radonevic.B.E.Rhoades, “Assad-Kirk type fixed point theorems for a pair of nonself mappings on cone metric spaces”,Fixed point Theory and Appl.Vol.2009,Article ID 761086,16 Pages,doi:10.1155/2009/761086.
  • T.Kamaran., “Coincidence and fixed points for hybrid strict contractions” , J.Math.Anal.Appl. 299464-468(2007).
  • D.Kim,D.Wardowski, “Dynamics processes and fixed points of set-valued nonlinear contractions in cone metric spaces”,Nonlinear Analysis 71,5170-5175(2009).
  • Z.Kadelburg,S.Radonevic,B.Rosic, “Strict contractive conditions and common fixed point theorems in cone metric spaces”,Fixed point Theory and Appl.Vol.2009,Article ID 173838,14 Pages,doi:10.1155/2009/173838.
  • Z.Kadelburg,S.Radonevic,V.Rakocevic, “Remarks on quasi-contraction on a cone metric space”, Appl.Math.Lett.,22:1674-1679(2009).
  • Radonevic, S., “Common fixed points under contractive conditions in cone metric spaces”, Computer and Math.with Appl.,581273- 1278(2009).
  • Rezapour Sh., and.Hamalbarani., R., “Some notes on paer ”cone metric spaces and fixed point theorems of contractive mappings”, J.Math.Anal.Appl. 345(2008), 719-724.
  • Rezapour Sh, and Haghi., R.H, “Fixed points of multi functions on cone metric spaces” , Numerical Functional Analysis and optimization,30:7(2009),825-832. DOI:10.1080- 01630560903123346.
  • Rezapour S., Khandani H., and Vaezpour., S., M., “Efficacy of cones on topological vector spaces and application to common fixed points of multi functions”, Rend.Ciric.Mat. Palermo,59 185-197(2010).
  • Rezapour, Sh., Haghi, R.H., Shahzad, N., “Some notes on fixed points of quasi-contraction maps”, Appl.Math.Lett.,23:498-502(2010).
  • Wei-Shih Du, “A note on cone metric fixed point theory and its equivalence”,Nonlinear Analysis, 72:2259-2261(2010).
  • Vetro., P., “Common fixed points in cone metric spaces” , Rend. Ciric. Mat. Palermo, 56:464-468 (2007).
  • Wlodarczyk, K., Plebaniak, R., Obczynski, C., “Convergence theorems,best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces”, Nonlinear Analysis 72:794- 805(2010).
  • Zhao, Z., Chen, X., “Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations”,Computer and Math.with Appl. 58:1223-1229 (2009).
Year 2012, Volume: 25 Issue: 3, 655 - 659, 19.07.2012

Abstract

References

  • Abbas M, and Jungck, G., “Common fixed point result for non commuting mappings without continuity in cone metric spaces”, J.Math.Anal.Appl. 341:416-420(2008).
  • Azam, A., Arshad M., and Beg., I., “Common fixed points of two maps in cone metric spaces”, Rend.Ciric.Mat.Palermo,57:433-441 (2008),
  • A.Azam,M.Arshad, “Common fixed points of generalized contractive maps in cone uniform spaces” , Bull.Iranian Math.Soc., 35(2) 255-264. (2009).
  • Arshad, M., Azam, A., Vetro, P., “Some common fixed point results in cone uniform spaces”, Fixed Point Theory and Appl. 2009,Article ID 493965,11 Pages,doi: 10.1155/2009/493965.
  • Bari C.Di, and Vetro. P., φ-pairs and common
  • fixed points in cone metric spaces”,
  • Rend.Ciric.Mat. Palermo,57:279-285 (2008).
  • Bari C.Di, and Vetro P., “Weakly φ-pairs and common fixed points in cone metric spaces” Ciric.Mat.Palermo,58 125-132 (2009).
  • Haghi, R.H., Rezapour, Sh., ”Fixed points of multifunctions on regular cone metric spaces”, Expo.Math.,28:71-77 (2010),
  • Harjani, J., Sadarangani, K., “Generalized contractions in partially ordered metric spaces and Applications to ordinary differential equations”, Nonlinear Analysis,72(2010),1188-1197.
  • L.G.Huang and X.Zhang., “Cone metric spaces and fixed point theorems of contractive mappings”, J.Math.Anal.Appl.332(2007), 1468- 1476.
  • D.Ilic and V.Rakocevic., “Common fixed point result for maps on cone metric spaces”, J.Math. Anal.Appl.341(2008), 867-882.
  • S.Jankovic,Z.Kadelburg,S.Radonevic.B.E.Rhoades, “Assad-Kirk type fixed point theorems for a pair of nonself mappings on cone metric spaces”,Fixed point Theory and Appl.Vol.2009,Article ID 761086,16 Pages,doi:10.1155/2009/761086.
  • T.Kamaran., “Coincidence and fixed points for hybrid strict contractions” , J.Math.Anal.Appl. 299464-468(2007).
  • D.Kim,D.Wardowski, “Dynamics processes and fixed points of set-valued nonlinear contractions in cone metric spaces”,Nonlinear Analysis 71,5170-5175(2009).
  • Z.Kadelburg,S.Radonevic,B.Rosic, “Strict contractive conditions and common fixed point theorems in cone metric spaces”,Fixed point Theory and Appl.Vol.2009,Article ID 173838,14 Pages,doi:10.1155/2009/173838.
  • Z.Kadelburg,S.Radonevic,V.Rakocevic, “Remarks on quasi-contraction on a cone metric space”, Appl.Math.Lett.,22:1674-1679(2009).
  • Radonevic, S., “Common fixed points under contractive conditions in cone metric spaces”, Computer and Math.with Appl.,581273- 1278(2009).
  • Rezapour Sh., and.Hamalbarani., R., “Some notes on paer ”cone metric spaces and fixed point theorems of contractive mappings”, J.Math.Anal.Appl. 345(2008), 719-724.
  • Rezapour Sh, and Haghi., R.H, “Fixed points of multi functions on cone metric spaces” , Numerical Functional Analysis and optimization,30:7(2009),825-832. DOI:10.1080- 01630560903123346.
  • Rezapour S., Khandani H., and Vaezpour., S., M., “Efficacy of cones on topological vector spaces and application to common fixed points of multi functions”, Rend.Ciric.Mat. Palermo,59 185-197(2010).
  • Rezapour, Sh., Haghi, R.H., Shahzad, N., “Some notes on fixed points of quasi-contraction maps”, Appl.Math.Lett.,23:498-502(2010).
  • Wei-Shih Du, “A note on cone metric fixed point theory and its equivalence”,Nonlinear Analysis, 72:2259-2261(2010).
  • Vetro., P., “Common fixed points in cone metric spaces” , Rend. Ciric. Mat. Palermo, 56:464-468 (2007).
  • Wlodarczyk, K., Plebaniak, R., Obczynski, C., “Convergence theorems,best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces”, Nonlinear Analysis 72:794- 805(2010).
  • Zhao, Z., Chen, X., “Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations”,Computer and Math.with Appl. 58:1223-1229 (2009).
There are 26 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Kpr Rao

K. Parvathı This is me

Md. Alı This is me

Publication Date July 19, 2012
Published in Issue Year 2012 Volume: 25 Issue: 3

Cite

APA Rao, K., Parvathı, K., & Alı, M. (2012). Coincidence Points of Hybrid Functions on Cone Metric Spaces. Gazi University Journal of Science, 25(3), 655-659.
AMA Rao K, Parvathı K, Alı M. Coincidence Points of Hybrid Functions on Cone Metric Spaces. Gazi University Journal of Science. July 2012;25(3):655-659.
Chicago Rao, Kpr, K. Parvathı, and Md. Alı. “Coincidence Points of Hybrid Functions on Cone Metric Spaces”. Gazi University Journal of Science 25, no. 3 (July 2012): 655-59.
EndNote Rao K, Parvathı K, Alı M (July 1, 2012) Coincidence Points of Hybrid Functions on Cone Metric Spaces. Gazi University Journal of Science 25 3 655–659.
IEEE K. Rao, K. Parvathı, and M. Alı, “Coincidence Points of Hybrid Functions on Cone Metric Spaces”, Gazi University Journal of Science, vol. 25, no. 3, pp. 655–659, 2012.
ISNAD Rao, Kpr et al. “Coincidence Points of Hybrid Functions on Cone Metric Spaces”. Gazi University Journal of Science 25/3 (July 2012), 655-659.
JAMA Rao K, Parvathı K, Alı M. Coincidence Points of Hybrid Functions on Cone Metric Spaces. Gazi University Journal of Science. 2012;25:655–659.
MLA Rao, Kpr et al. “Coincidence Points of Hybrid Functions on Cone Metric Spaces”. Gazi University Journal of Science, vol. 25, no. 3, 2012, pp. 655-9.
Vancouver Rao K, Parvathı K, Alı M. Coincidence Points of Hybrid Functions on Cone Metric Spaces. Gazi University Journal of Science. 2012;25(3):655-9.