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Year 2018, Volume: 67 Issue: 2, 306 - 316, 01.08.2018

Abstract

References

  • Aghajani, A., Abbas M., and Roshan, J.R., Common …xed point of generalized weak contrac- tive mappings in partially ordered b-metric spaces, Math. Slovaca (2014), 64(4), 941–960.
  • Ansari, A. H., Note on “ -admissible mappings and related …xed point theorems”,The 2nd Regional Conference On Mathematics And Applications,PNU (2014), 373-376.
  • Ansari, A.H. and Shukla, S., Some …xed point theorems for ordered F -(F; h)-contraction and subcontractions in 0-f -orbitally complete partial metric spaces, J. Adv. Math. Stud. (2016), (1), 37-53.
  • Berinde, V., Generalized contractions in quasimetric spaces, in Seminar on Fixed Point Theory, Babes¸-Bolyai University, Cluj-Napoca, Romania (1993), 93(3), 3-9,
  • Berinde, V., Contractii Generalizate ÅŸ i Aplicatii, Editura Cub Press, Baia Mare (1997),
  • Berinde, V., Sequences of operators and …xed points in quasimetric spaces, Mathematica (1996), 41(4), 23-27.
  • Boriceanu, M., Bota, M. and Petrusel, A., Multivalued fractals in b-metric spaces, Cent. Eur. J. Math. (2010), 8, 367-377.
  • Bota, M.F., Karapinar, E. and Mlesnite, O., Ulam-Hyers stability results for …xed point problems via (2013), 2013, Article ID 825293.
  • Czerwik, S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena (1998), 46(2), 263-276.
  • Huang, H., Ansari, A.H., Doli´canin–Deki´c, D. and Radenovi´c, S., Some …xed point results for rational type and subrational type contractive mappings, Acta Univ. Sapientiae Mathematica (2017), 9(1), 185-201.
  • Karapınar, E. and Samet, B., Generalized contractive type mappings and related …xed point theorems with applications, Abstract And Applied Anal. (2012), Article ID 793486.
  • Mınak, G. and Altun, I.,On the eğect of admissibility and -contractivity to the existence of …xed points of multivalued mappings, Nonlinear Analysis: Modelling and Control (2016), (5), 673–686.
  • Ozturk, V. and Turkoglu, D., Fixed Points For Generalized contractions in b-metric spaces, J.Nonlinear Convex Anal. (2015), 16(10), 2059-2066.
  • Radenovi´c, S., Došenovi´c, T., Ozturk, V. and Doli´canin, ´C., A note on the paper:“Nonlinear integral equations with new admissibility types in b-metric spaces”, Journal Of Fixed Point Theory And Appl. DOI 10.1007/s11784-017-0416-2,
  • Rezapour, S. and Samei, M. E., Some …xed point results for '- contractive type mappings on intuitionistic fuzzy metric spaces, Journal of Advanced Mathematical Studies (2013), 7(1), 181.
  • Salimi, P. Latif, A.and Hussain, N., Modifed contractive mappings with applications, Fixed Point Theory and Applications (2013), 2013, Article ID 151.
  • Samet, B., Vetro, C. and Vetro, P., Fixed point theorems for contractive type mappings, Nonlinear Analysis Theory, Methods, Applications (2012), 75(4), 2154-2165.

FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES

Year 2018, Volume: 67 Issue: 2, 306 - 316, 01.08.2018

Abstract

t. In this paper, we deÖned (F; h; ; ) contractions using pair of (F; h) upper class functions for admissible and subadmissible mappings.We proved some Öxed point theorems for this type contractive mappings in bmetric spaces. Our results generalize admissible results in the lite

References

  • Aghajani, A., Abbas M., and Roshan, J.R., Common …xed point of generalized weak contrac- tive mappings in partially ordered b-metric spaces, Math. Slovaca (2014), 64(4), 941–960.
  • Ansari, A. H., Note on “ -admissible mappings and related …xed point theorems”,The 2nd Regional Conference On Mathematics And Applications,PNU (2014), 373-376.
  • Ansari, A.H. and Shukla, S., Some …xed point theorems for ordered F -(F; h)-contraction and subcontractions in 0-f -orbitally complete partial metric spaces, J. Adv. Math. Stud. (2016), (1), 37-53.
  • Berinde, V., Generalized contractions in quasimetric spaces, in Seminar on Fixed Point Theory, Babes¸-Bolyai University, Cluj-Napoca, Romania (1993), 93(3), 3-9,
  • Berinde, V., Contractii Generalizate ÅŸ i Aplicatii, Editura Cub Press, Baia Mare (1997),
  • Berinde, V., Sequences of operators and …xed points in quasimetric spaces, Mathematica (1996), 41(4), 23-27.
  • Boriceanu, M., Bota, M. and Petrusel, A., Multivalued fractals in b-metric spaces, Cent. Eur. J. Math. (2010), 8, 367-377.
  • Bota, M.F., Karapinar, E. and Mlesnite, O., Ulam-Hyers stability results for …xed point problems via (2013), 2013, Article ID 825293.
  • Czerwik, S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena (1998), 46(2), 263-276.
  • Huang, H., Ansari, A.H., Doli´canin–Deki´c, D. and Radenovi´c, S., Some …xed point results for rational type and subrational type contractive mappings, Acta Univ. Sapientiae Mathematica (2017), 9(1), 185-201.
  • Karapınar, E. and Samet, B., Generalized contractive type mappings and related …xed point theorems with applications, Abstract And Applied Anal. (2012), Article ID 793486.
  • Mınak, G. and Altun, I.,On the eğect of admissibility and -contractivity to the existence of …xed points of multivalued mappings, Nonlinear Analysis: Modelling and Control (2016), (5), 673–686.
  • Ozturk, V. and Turkoglu, D., Fixed Points For Generalized contractions in b-metric spaces, J.Nonlinear Convex Anal. (2015), 16(10), 2059-2066.
  • Radenovi´c, S., Došenovi´c, T., Ozturk, V. and Doli´canin, ´C., A note on the paper:“Nonlinear integral equations with new admissibility types in b-metric spaces”, Journal Of Fixed Point Theory And Appl. DOI 10.1007/s11784-017-0416-2,
  • Rezapour, S. and Samei, M. E., Some …xed point results for '- contractive type mappings on intuitionistic fuzzy metric spaces, Journal of Advanced Mathematical Studies (2013), 7(1), 181.
  • Salimi, P. Latif, A.and Hussain, N., Modifed contractive mappings with applications, Fixed Point Theory and Applications (2013), 2013, Article ID 151.
  • Samet, B., Vetro, C. and Vetro, P., Fixed point theorems for contractive type mappings, Nonlinear Analysis Theory, Methods, Applications (2012), 75(4), 2154-2165.
There are 17 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Other ID JA47KM43ZT
Journal Section Research Article
Authors

Vildan Öztürk This is me

Duran Türkoğlu This is me

Arslan Hojat Ansarı This is me

Publication Date August 1, 2018
Submission Date August 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 2

Cite

APA Öztürk, V., Türkoğlu, D., & Ansarı, A. H. (2018). FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 306-316.
AMA Öztürk V, Türkoğlu D, Ansarı AH. FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2018;67(2):306-316.
Chicago Öztürk, Vildan, Duran Türkoğlu, and Arslan Hojat Ansarı. “FIXED POINTS FOR GENERALIZED (F; H; ; ) CONTRACTIONS IN BMETRIC SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 2 (August 2018): 306-16.
EndNote Öztürk V, Türkoğlu D, Ansarı AH (August 1, 2018) FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 306–316.
IEEE V. Öztürk, D. Türkoğlu, and A. H. Ansarı, “FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 306–316, 2018.
ISNAD Öztürk, Vildan et al. “FIXED POINTS FOR GENERALIZED (F; H; ; ) CONTRACTIONS IN BMETRIC SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 2018), 306-316.
JAMA Öztürk V, Türkoğlu D, Ansarı AH. FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:306–316.
MLA Öztürk, Vildan et al. “FIXED POINTS FOR GENERALIZED (F; H; ; ) CONTRACTIONS IN BMETRIC SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, 2018, pp. 306-1.
Vancouver Öztürk V, Türkoğlu D, Ansarı AH. FIXED POINTS FOR GENERALIZED (F; h; ; ) CONTRACTIONS IN bMETRIC SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):306-1.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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