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Abstrakty
In this paper we have introduced a new type of contraction mapping Fα-contraction which is the generalization of Fα-contraction and proved some common fixed point theorems using integral type contraction condition.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
17--37
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Department of Mathematics, Raiganj University, West Bengal, India,733134
autor
- Department of Mathematics, Raniganj Girls’ College, P. Bardhaman, West Bengal, India-713358
autor
- Department of Mathematics, Raiganj University, West Bengal, India,733134
Bibliografia
- [1] Badehian Z., Asgari M.S., Integral type fixed point theorems for α-admissible mappings satisfying α-ψ-ϕ-contractive inequality, Filomat, 30(12)(2016), 3227-3234.
- [2] Banach S., Sur les operations dans les ensembles abstrits et leur applications aux equations integrales, Fund. Math., 3(1922), 133-181.
- [3] Branciary A., A fixed point theorem for mappings satisfying a general contractive condition of integral type, ILMMS, 29(9)(2002), 531-536.
- [4] Gahler S., 2-metricsche Raume und ihre topologische strukture, Math. Nachr., 26(1963), 115-148.
- [5] Gupta et al., Some fixed point and common fixed point theorems of integral expressionon 2-Banach spaces, IJSRP, Vol. 4, Issue 11, 2014.
- [6] Khojasteh et al., Some fixed point theorems of integral type contraction in cone metric spaces, Hindawi Publishing Corporation Fixed Point Theory and Applications, Vol. 2010, Article ID 189684, 13 pages.
- [7] Kumar et al., Common fixed point theorems of integral type contraction on metric spaces, Adv. Fixed Point theory, 7(2)(2017), 304-314.
- [8] Liu et al., Fixed point theorems of contractive mappings of integral type, Fixed Point Theory and Application, 2013, 2013:300.
- [9] Moradi S., Omid M., A fixed-point theorem for integral type inequality depending on another function, Int. Journal of Math. Analysis, 4(30)(2010), 1491-1499.
- [10] Naidu S.V.R., Prasad, J.R., Fixed point theorems in 2-metric spaces, Indian J. Pure Appl. Math., 17(8)(1986), 974-993.
- [11] Oozturk V., Integral type F-contractions in partial metric spaces, Hindawi Journal of Function Spaces, Vol. 2019, Article ID 5193862, 8 pages.
- [12] Panthil D., Kumari P.S., Some integral type fixed point theorems in dislocated metric space, American Journal of Computational Mathematics, 6(2016), 88-97.
- [13] Prajapattet al., Some fixed point and common fixed point theorems of integral type on 2-Banach spaces, Innovative Systems Design and Engineering, 5(7), 2014.
- [14] Rhoades B.E., Two fixed point theorems for mapping satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 63(2003), 4007-4013.
- [15] Samet B., Verto C., Vetro P., Fixed point theorems for α−ψ-contractive type mappings, Nonlinear Anal., 75(2012), 2154-2165.
- [16] Sarwar et al., Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations, Fixed Point Theory and Applications, (2015), 2015:217.
- [17] Shoaib et al., Existence and uniqueness of common fixed point for mappings satisfying integral type contractive conditions in G-metric spaces, Matriks Sains Matematik, 1(1)(2017), 01-08.
- [18] Vats et al., Common fixed point theorems of integral type for OWC mappings under relaxed condition, Thai Journal of Mathematics, 15(1)(2017), 153-166.
- [19] Wardowski D., Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012, 94(2012).
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
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