Common fixed point theorems for generalized G- η-χ–contractive type mappings with applications
Kumar, Manoj ; Araci, Serkan
Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017), / Harvested from Portal de Periódicos da UEM
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Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of alpha-psi-contractive type mappings in metric spaces. In 2013, Alghamdi et. al. [2] introduced the concept of G-β--contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G-η-χ-contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.

Publié le : 2017-01-01
DOI : https://doi.org/10.5269/bspm.v37i1.33610 
@article{33610,
     title = {Common fixed point theorems for generalized G- $\eta$-$\chi$--contractive  type mappings with applications},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {37},
     year = {2017},
     doi = {10.5269/bspm.v37i1.33610},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/33610}
}

Kumar, Manoj; Araci, Serkan. Common fixed point theorems for generalized G- η-χ–contractive  type mappings with applications. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i1.33610. http://gdmltest.u-ga.fr/item/33610/