Fixed point results for \(GP_{(\Lambda,\Theta)}\)-contractive mappings


Authors

Vahid Parvaneh - Department of Mathematics, College of Science, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran. Peyman Salimi - Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran. Pasquale Vetro - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archira 34, 90123 Palermo, Italy. Akbar Dehghan Nezhad - Department of Mathematics, Yazd University, Yazd, Iran. Stojan Radenović - Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia.


Abstract

In this paper, we introduce new notions of \(GP\)-metric space and \(GP_{(\Lambda,\Theta)}\)-contractive mapping and then prove some fixed point theorems for this class of mappings. Our results extend and generalized Banach contraction principle to \(GP\)-metric spaces. An example shows the usefulness of our results.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Vahid Parvaneh, Peyman Salimi, Pasquale Vetro, Akbar Dehghan Nezhad, Stojan Radenović, Fixed point results for \(GP_{(\Lambda,\Theta)}\)-contractive mappings, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 3, 150--159

AMA Style

Parvaneh Vahid, Salimi Peyman, Vetro Pasquale, Nezhad Akbar Dehghan, Radenović Stojan, Fixed point results for \(GP_{(\Lambda,\Theta)}\)-contractive mappings. J. Nonlinear Sci. Appl. (2014); 7(3):150--159

Chicago/Turabian Style

Parvaneh, Vahid, Salimi, Peyman, Vetro, Pasquale, Nezhad, Akbar Dehghan, Radenović, Stojan. "Fixed point results for \(GP_{(\Lambda,\Theta)}\)-contractive mappings." Journal of Nonlinear Sciences and Applications, 7, no. 3 (2014): 150--159


Keywords


MSC


References