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

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

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

___

  • 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.