Coincidence Points of Hybrid Functions on Cone Metric Spaces

Yıl 2012, Cilt: 25 Sayı: 3, 655 - 659, 19.07.2012

Kpr Rao , K. Parvathı Md. Alı

Öz

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

Anahtar Kelimeler

metric spaces, coincidence points, multi functions.

Kaynakça

• 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).