Geodesic
Two Perov type generalized graph contractions
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 195 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In $[$Približ. Metod. Rešen. Differencial'. Uravnen. extbf{2} $(1964)$, $115-134]$ A. I. Perov generalized the Banach contraction principle by employing matrices instead of contraction constants. In this paper, we introduce and study two kind of Perov type contractive mappings. Fixed point results of such mappings are obtained in the framework of cone $b$-metric spaces endowed with a graph and associated with a generalized $c$-distance. Our results and methods are new. Some corollaries and examples are presented to support the main result proved herein. These results unify, extend and generalize various comparable results in the literature. plications to quasi-singular integrals.
Classification : 46A19, 47H10, 05C20
Keywords: fixed point, cone b-metric space, orbitally G-continuous mapping, generalized c-distance 
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     author = {Mujahid Abbas and Talat Nazir and Vladimir Rako\v{c}evi\'c},
     title = {Two {Perov} type generalized graph contractions},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {195 },
     year = {2021},
     volume = {46},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2021_46_a11/}
}
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Mujahid Abbas; Talat Nazir; Vladimir Rakočević. Two Perov type generalized graph contractions. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 195 . http://geodesic.mathdoc.fr/item/BASS_2021_46_a11/