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|a (JST)26918251
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|a eng
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|a Chuensupantharat, Nantaporn
|e verfasserin
|4 aut
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|a On Caristi’s fixed point theorem in metric spaces with a graph
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|c 2020
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|a We generalize the Caristi’s fixed point theorem for single valued as well as multivalued mappings defined on a metric space endowed with a graph and w-distance. Particularly, we modify the concept of the (OSC)-property due to Alfuraidan and Khamsi (Alfuraidan M. R. and Khamsi, M. A., Caristi fixed point theorem in metric spaces with graph, Abstr. Appl. Anal., (2014) Art. ID 303484, 5.) which enable us to reformulated their stated graph theory version theorem (Theorem 3.2 in Alfuraidan M. R. and Khamsi, M. A., Caristi fixed point theorem in metric spaces with graph, Abstr. Appl. Anal., (2014) Art. ID 303484, 5. ) to the case of w-distance. Consequently, we extend and improve some recent works concerning extension of Banach Contraction Theorem to w-distance with graph e.g. (Jachymski, J., The contraction principle for mappings on a metric space with graph, Proc. Amer. Math. Soc., 136 (2008), No. 4, 1359–1373; Nieto, J. J., Pouso, R. L. and Rodriguez-Lopez R., Fixed point theorems in ordered abstract spaces, Proc. Amer. Math. Soc., 135 (2007), 2505–2517 and Petrusel, A. and Rus, I., Fixed point theorems in ordered L—spaces endowed with graph, Proc. Amer, Math. Soc., 134 (2006), 411–418).
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|a Philosophy
|x Logic
|x Logical topics
|x Formal logic
|x Mathematical logic
|x Mathematical set theory
|x Diagonal arguments
|x Diagonal lemma
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|a Mathematics
|x Mathematical expressions
|x Mathematical theorems
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|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Graph theory
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|a Mathematics
|x Mathematical analysis
|x Mathematical induction
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Statistical physics
|x Dimensional analysis
|x Dimensionality
|x Abstract spaces
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Euclidean geometry
|x Plane geometry
|x Vertices
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|a research-article
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|a Gopal, Dhananjay
|e verfasserin
|4 aut
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|i Enthalten in
|t Carpathian Journal of Mathematics
|d Sinus Association
|g 36(2020), 2, Seite 259-268
|w (DE-627)894846922
|w (DE-600)2901542-X
|x 18434401
|7 nnns
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|g volume:36
|g year:2020
|g number:2
|g pages:259-268
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|u https://www.jstor.org/stable/26918251
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|d 36
|j 2020
|e 2
|h 259-268
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