Two Perov type generalized graph contractions
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In [Priblizˇ. Metod. Resˇen. Differencial’. Uravnen. 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 contrac tive 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.
Keywords:
Fixed point / cone b-metric space, / orbitally G-continuous mapping / generalized c-distanceSource:
Bulletin T.CLIV de l’Académie serbe des sciences et des arts, 2021, 195-216Publisher:
- Beograd : Académie Serbe des sciences et des arts
Note:
- Bulletin t. 154 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 46.
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Cрпска академија наука и уметности / Serbian Academy of Sciences and ArtsTY - CONF AU - Abbas, Mujahid AU - Nazir, Talat AU - Rakočević, Vladimir PY - 2021 UR - https://dais.sanu.ac.rs/123456789/13291 AB - In [Priblizˇ. Metod. Resˇen. Differencial’. Uravnen. 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 contrac tive 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. PB - Beograd : Académie Serbe des sciences et des arts C3 - Bulletin T.CLIV de l’Académie serbe des sciences et des arts T1 - Two Perov type generalized graph contractions SP - 195 EP - 216 UR - https://hdl.handle.net/21.15107/rcub_dais_13291 ER -
@conference{ author = "Abbas, Mujahid and Nazir, Talat and Rakočević, Vladimir", year = "2021", abstract = "In [Priblizˇ. Metod. Resˇen. Differencial’. Uravnen. 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 contrac tive 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.", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLIV de l’Académie serbe des sciences et des arts", title = "Two Perov type generalized graph contractions", pages = "195-216", url = "https://hdl.handle.net/21.15107/rcub_dais_13291" }
Abbas, M., Nazir, T.,& Rakočević, V.. (2021). Two Perov type generalized graph contractions. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 195-216. https://hdl.handle.net/21.15107/rcub_dais_13291
Abbas M, Nazir T, Rakočević V. Two Perov type generalized graph contractions. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts. 2021;:195-216. https://hdl.handle.net/21.15107/rcub_dais_13291 .
Abbas, Mujahid, Nazir, Talat, Rakočević, Vladimir, "Two Perov type generalized graph contractions" in Bulletin T.CLIV de l’Académie serbe des sciences et des arts (2021):195-216, https://hdl.handle.net/21.15107/rcub_dais_13291 .