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COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES

Year 2011, Volume: 40 Issue: 2, 211 - 217, 01.02.2011

Abstract

References

  • Abdeljawad, T. Completion of cone metric spaces, Hacettepe J. Math. Stat. 39 (1), 67–74, 2010.
  • Abdeljawad, T. and Karapınar, E. Quasi-cone metric spaces and generalizations of Caristi Kirk’s theorem, Fixed Point Theory Appl., 2009, doi:10.1155/2009/574387.
  • Abdeljawad, T. and Karapınar, E. A common fixed point theorem of a Gregus type on convex cone metric spaces, J. Comput. Anal. Appl. 13 (4), 609–621, 2011.
  • Deimling, K. Nonlinear Functional Analysis (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985).
  • Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
  • Jungck, G. and Rhoades, B. E. Fixed point for set valued functions without continuity, Indian J. Pure and Appl. Math. 29 (3), 227–238, 1998.
  • Karapınar, E. Fixed point theorems in cone Banach spaces, Fixed Point Theory Appl. 2009 Article ID 609281, 9 pages, 2009, doi:10.1155/2009/609281
  • Karapınar, E. Some fixed point theorems on the cone Banach spaces, Proc. 7 ISAAC Con- gress, World Scientific, 606–612, 2010.
  • Karapınar, E. Couple fixed point theorems for nonlinear contractions in cone metric spaces, Computers & Mathematics with Applications, 59 (12), 3656–3668, 2010.
  • Karapınar, E. Some nonunique fixed point theorems of ´Ciri´c type on cone metric spaces, Abstr. Appl. Anal. 2010, Article ID 123094, 14 pages, 2010, doi: 10.1155/2010/123094
  • Karapınar, E. Couple fixed point on cone metric spaces, Gazi University Journal of Science 24(1), 51–58, 2011.
  • Karapınar, E. and Y¨uksel, U. On common fixed point theorems without commuting condi- tions in tvs-cone metric spaces, J. Comput. Anal. Appl. 13 (6), 1115–1122, 2011.
  • Khan, M. S. and Imdad, M. A. A common fixed point theorem for a class of mappings, Indian J. Pure Appl. Math. 14, 1220–1227, 1983.
  • Lin, S.-D. A common fixed point theorem in abstract spaces, Indian J. Pure Appl. Math. 18(8), 685–690, 1987.
  • Maia, M. G. Un’ Osservazione sulle contrazioni metriche, Ren. Sem. Mat. Univ. Padova 40, 139–143, 1968.
  • Rezapour, Sh. and Hamlbarani, R. Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 347, 719–724, 2008.
  • Rzepecki, B. On fixed point theorems of Maia type, Publications De L’institut Math´ematique 28, 179–186, 1980.
  • S¸ahin, ˙I. and Telci, M. Fixed points of contractive mappings on complete cone metric spaces, Hacettepe J. Math. Stat. 38 (1), 59–67, 2009.
  • Turkoglu, D. and Abuloha, M. Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Mathematica Sinica, English Series 26 (3), 489–496, 2010.
  • Turkoglu, D., Abuloha, M. and Abdeljawad, T. KKM mappings in cone metric spaces and some fixed point theorems, Nonlinear Analysis: Theory, Methods & Applications 72 (1), 348–353, 2010.
  • Turkoglu, D., Abuloha, M. and Abdeljawad, T. Some theorems and examples of cone Banach spaces, J. Comput. Anal. Appl. 12 (4), 739–753, 2010.

COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES

Year 2011, Volume: 40 Issue: 2, 211 - 217, 01.02.2011

Abstract

Recently, E. Karapınar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.

References

  • Abdeljawad, T. Completion of cone metric spaces, Hacettepe J. Math. Stat. 39 (1), 67–74, 2010.
  • Abdeljawad, T. and Karapınar, E. Quasi-cone metric spaces and generalizations of Caristi Kirk’s theorem, Fixed Point Theory Appl., 2009, doi:10.1155/2009/574387.
  • Abdeljawad, T. and Karapınar, E. A common fixed point theorem of a Gregus type on convex cone metric spaces, J. Comput. Anal. Appl. 13 (4), 609–621, 2011.
  • Deimling, K. Nonlinear Functional Analysis (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985).
  • Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
  • Jungck, G. and Rhoades, B. E. Fixed point for set valued functions without continuity, Indian J. Pure and Appl. Math. 29 (3), 227–238, 1998.
  • Karapınar, E. Fixed point theorems in cone Banach spaces, Fixed Point Theory Appl. 2009 Article ID 609281, 9 pages, 2009, doi:10.1155/2009/609281
  • Karapınar, E. Some fixed point theorems on the cone Banach spaces, Proc. 7 ISAAC Con- gress, World Scientific, 606–612, 2010.
  • Karapınar, E. Couple fixed point theorems for nonlinear contractions in cone metric spaces, Computers & Mathematics with Applications, 59 (12), 3656–3668, 2010.
  • Karapınar, E. Some nonunique fixed point theorems of ´Ciri´c type on cone metric spaces, Abstr. Appl. Anal. 2010, Article ID 123094, 14 pages, 2010, doi: 10.1155/2010/123094
  • Karapınar, E. Couple fixed point on cone metric spaces, Gazi University Journal of Science 24(1), 51–58, 2011.
  • Karapınar, E. and Y¨uksel, U. On common fixed point theorems without commuting condi- tions in tvs-cone metric spaces, J. Comput. Anal. Appl. 13 (6), 1115–1122, 2011.
  • Khan, M. S. and Imdad, M. A. A common fixed point theorem for a class of mappings, Indian J. Pure Appl. Math. 14, 1220–1227, 1983.
  • Lin, S.-D. A common fixed point theorem in abstract spaces, Indian J. Pure Appl. Math. 18(8), 685–690, 1987.
  • Maia, M. G. Un’ Osservazione sulle contrazioni metriche, Ren. Sem. Mat. Univ. Padova 40, 139–143, 1968.
  • Rezapour, Sh. and Hamlbarani, R. Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 347, 719–724, 2008.
  • Rzepecki, B. On fixed point theorems of Maia type, Publications De L’institut Math´ematique 28, 179–186, 1980.
  • S¸ahin, ˙I. and Telci, M. Fixed points of contractive mappings on complete cone metric spaces, Hacettepe J. Math. Stat. 38 (1), 59–67, 2009.
  • Turkoglu, D. and Abuloha, M. Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Mathematica Sinica, English Series 26 (3), 489–496, 2010.
  • Turkoglu, D., Abuloha, M. and Abdeljawad, T. KKM mappings in cone metric spaces and some fixed point theorems, Nonlinear Analysis: Theory, Methods & Applications 72 (1), 348–353, 2010.
  • Turkoglu, D., Abuloha, M. and Abdeljawad, T. Some theorems and examples of cone Banach spaces, J. Comput. Anal. Appl. 12 (4), 739–753, 2010.
There are 21 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Thabet Abdeljawad This is me

Erdal Karapınar This is me

 kenan Taş This is me

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 2

Cite

APA Abdeljawad, T., Karapınar, E., & Taş, . (2011). COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics, 40(2), 211-217.
AMA Abdeljawad T, Karapınar E, Taş . COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics. February 2011;40(2):211-217.
Chicago Abdeljawad, Thabet, Erdal Karapınar, and  kenan Taş. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics 40, no. 2 (February 2011): 211-17.
EndNote Abdeljawad T, Karapınar E, Taş  (February 1, 2011) COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics 40 2 211–217.
IEEE T. Abdeljawad, E. Karapınar, and  . Taş, “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 211–217, 2011.
ISNAD Abdeljawad, Thabet et al. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 2011), 211-217.
JAMA Abdeljawad T, Karapınar E, Taş . COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40:211–217.
MLA Abdeljawad, Thabet et al. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, 2011, pp. 211-7.
Vancouver Abdeljawad T, Karapınar E, Taş . COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40(2):211-7.