Uređeni b-metrički prostori i kontraaktivna preslikavanja Geraghtijevog tipa

  • Sumit C. Chandok Univerzitet u Beogradu, Mašinski fakultet
  • Mirko S. Jovanović University of Belgrade, Faculty of Electrical Engineering
  • Stojan N. Radenović University of Belgrade, Faculty of Mechanical Engineering
DOI: https://doi.org/10.5937/vojtehg65-13266
Ključne reči: fixed point||, ||fiksna tačka, b-metric||, ||b-metrika, comparable||, ||uporediv, well order||, ||dobro uređen, Geraghty mapping||, ||Geraghtijevo preslikavanje, b-Cauchy||, ||b-Košijev, b-complete||, ||b-komplet,

Sažetak


Korišćenjem novog pristupa, u radu su predstavljeni nedavni rezultate fiksne tačke, koju je ustanovilo više autora, na mnogo kraći i lepši način. Naveden je i primer koji to ilustruje.

Reference

Abbas, M., Chema, I.Z., & Razani, A., 2016. Existence of common fixed point for b-metric rational type contraction. Filomat, 30(6), pp.1413-1429.

Aghajani, A., Abbas, M., & Roshan, J.R., 2014. Common fixed point of generalized weak contractive mappings in partially ordered-metric spaces. Math. Slovaca, 4, pp.941-960.

Ansari, A.H., Razani, A., & Hussain, N., 2016. Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered b-metric spaces, to appear in. Int. J. Nonlinear Anal. Appl. Available at: http://dx.doi.org/10.22075/IJNAA.2016.453.

Bakhtin, I.A., 1989. The contraction principle in quasimetric spaces. Funct. Anal., 30, pp.26-37.

Czerwik, S., 1993. Contraction mappings in-metric spaces. Acta Math. Inform. Univ. Ostrav, 1, pp.5-11.

Djukić, D., Kadelburg, Z., & Radenović, S., 2011. Fixed points of Geraghty-type mappings in various generalized metric spaces. Abstr. Appl. Anal. Article ID 561245, 13 pages.

Huang, H., Vujaković, J., & Radenović, S., 2015a. A note on common fixed point theorems for isotone increasing mappings in ordered b-metric spaces. J. Nonlinear Sci. Appl., 8, pp.808-815.

Huang, H., Paunović, Lj., & Radenović, S., 2015b. On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces. J. Nonlinear Sci. Appl., 8, pp.800-807.

Huaping, H., Radenović, S., & Vujaković, J., 2015. On some recent coincidence and immediate consequences in partially ordered b-metric spaces. Fixed Point Theory Appl., 63.

Hui-Sheng, D., Imdad, M., Radenović, S., & Vujaković, J. ,2016. On some fixed point results in b-metric, rectangular and b-rectangular metric spaces. Arab J. of Math. Sci, pp.151-164. Available at: http://dx.doi.org/10.1016/j.ajmsc.2015.05.003.

Hussain, N., Đorić, D., Kadelburg, Z., & Radenović, S., 2012. Suzuki-type fixed point results in metric type spaces. Fixed Point Theory Appl., 126.

Hussain, N., Parvaneh, V., Roshan, J.R., & Kadelburg, Z., 2013. Fixed points of cyclic - contractive mappings in ordered b-metric spaces with applications. Fixed Point Theory Appl., 256.

Jleli, M., Rajić, V.Ć., Samet, B., & Vetro, C., 2012. Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations. J. Fixed Point Theory Appl, pp.175-192. Available at: http://dx.doi.org/10.1007/s11784-012-0081-4.

Jovanović, M., Kadelburg, Z., & Radenović, S., 2010. Common fixed point results in metric-type spaces. Fixed Point Theory Appl. Article ID 978121, 15 pages.

Kadelburg, Z., Paunović, Lj., & Radenović, S., 2015. A note on fixed point theorems for weakly T-Kannan and weakly T-Chatterjea contractions in b-metric spacesa. Gulf Journal of Mathematics, 3(3), pp.57-67.

Khamsi, M.A., & Hussain, N., 2010. KKM mappings in metric type spaces. Nonlinear Anal., 73, pp.3123-3129.

Parvaneh, V., Roshan, J.R., & Radenović, S., 2013. Existence of tripled coincidence points in ordered b-metric spaces and an application to a system of integral equations. Fixed Point Theory Appl., 130.

Radenović, S., Kadelburg, Z., Jandrlić, D., & Jandrlić, A., 2012. Some results on weakly contractive maps. Bulletin of the Iranian Mathematical Society, 38(3), pp.625-645.

Roshan, J.R., Parvaneh, V., Shobkolaei, N., Sedghi, S., & Shatanawi, W., 2013. Common fixed points of almost generalized ( , ) - contractive mappings in ordered b-metric spaces. Fixed Point Theory Appl., 159.

Roshan, J.R., Parvaneh, V., Radenović, S., & Rajović, M., 2015. Some coincidence point results for generalized weakly contractions in ordered b-metric spaces. Fixed Point Theory Appl., 68.

Roshan, J.R., Parvaneh, V., & Kadelburg, Z., 2014. Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces. J. Nonlinear Sci. Appl., 7, pp.229-245.

Zabihi, F., & Razani, A., 2014. Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered b-metric spaces. J. Appl. Math., Article ID 929821, 9 pages.

Objavljeno
2017/04/03
Broj časopisa
Vol. 65 Br. 2 (2017): april – jun
Rubrika
Originalni naučni radovi

Vojnotehnički glasnik omogućava otvoreni pristup i, u skladu sa preporukom CEON-a, primenjuje Creative Commons odredbe o autorskim pravima:

Autori koji objavljuju u Vojnotehničkom glasniku pristaju na sledeće uslove:

  1. Autori zadržavaju autorska prava i pružaju časopisu pravo prvog objavljivanja rada i licenciraju ga Creative Commons licencom koja omogućava drugima da dele rad uz uslov navođenja autorstva i izvornog objavljivanja u ovom časopisu.
  2. Autori mogu izraditi zasebne, ugovorne aranžmane za neekskluzivnu distribuciju rada objavljenog u časopisu (npr. postavljanje u institucionalni repozitorijum ili objavljivanje u knjizi), uz navođenje da je rad izvorno objavljen u ovom časopisu.
  3. Autorima je dozvoljeno i podstiču se da postave objavljeni rad onlajn (npr. u institucionalnom repozitorijumu ili na svojim internet stranicama) pre i tokom postupka prijave priloga, s obzirom da takav postupak može voditi produktivnoj razmeni ideja i ranijoj i većoj citiranosti objavljenog rada (up. Efekat otvorenog pristupa).