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Fixed point in vb M_{\rm{v}}^{\rm{b}} – metric space and applications


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M. Asadi, E. Karapinar, P. Salimi, New extension of p−metric spaces with some fixed-point results on m−metric spaces, J. Inequal. Appl. 2014(1), (2014), 1–9. Search in Google Scholar

M. Asim, A. R. Khan, M. Imdad, Rectangular Mb−metric spaces and fixed point results, J. Math. Anal., 10(1), (2019), 10–18. Search in Google Scholar

M. Asim, I. Uddin, M. Imdad, Fixed point results in Mv−metric spaces with an application, J. Inequal. Appl., 2019(1), (2019), 1–19. Search in Google Scholar

S. Banach, Sur les operations dans les ensembles abstraits et leur application aux équation intégrales, Fund. Math., 3, (1922), 133–181. Search in Google Scholar

I. A. Bakhtin, The contraction mapping principle in quasi-metric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst, 30, (1989), 26–37. Search in Google Scholar

A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57, (2000), 31–37. Search in Google Scholar

M. Fréchet, Sur quelques points du calcul fonctionnel, palemo (30 via Ruggiero), (1906). Search in Google Scholar

R. George, S. Radenović, S. Shukla, Rectangular b−Metric Spaces and Contraction Principle, J. Nonlinear Sci. Appl., 8(6), (2015), 1005–1013. Search in Google Scholar

F. Hausdorff, Grundzu gedermengenlehere, Leipzig, VonVeit, (1914). Search in Google Scholar

M. Joshi, A. Tomar, H. A. Nabwey and R. George, On unique and nonunique fixed points and fixed circles in Mvb M_{\rm{v}}^{\rm{b}} -metric space and application to cantilever beam problem, J. Function Spaces, 2021, (2021), 15 pages. https://doi.org/10.1155/2021/6681044 Search in Google Scholar

I. Karahan, I. Isik, Partial bv (s) and bv (θ) metric spaces and related fixed point theorems, arXiv:1806.02663v1, (2018). Search in Google Scholar

W. Kirk, N. Shahzad, Fixed Point Theory in Distance Spaces, Springer, Cham, (2014). Search in Google Scholar

N. Mlaiki, A. Zarrad, N. Souayah, A. Mukheimer, T. Abdeljawed, Fixed Point Theorems in Mb−metric spaces, J. Math. Anal., 7, (2016), 1–9. Search in Google Scholar

S. G. Matthews, Partial metric topology, Annals of the New York Academy of Sciences, 728, (1994), 183–197. Search in Google Scholar

Z. D. Mitrovic, S. Radenovic, The Banach and Reich contractions in bv(s)−metric spaces, J. Fixed Point Theory Appl., (2017). Search in Google Scholar

N. Y.Özgür, N. Ta¸s, Some fixed-circle theorems on metric spaces, Bull. Malays. Math. Sci. Soc., (2017). Search in Google Scholar

N. Y.Özgür, N. Mlaki, N. Ta¸s, N. Souayah, A new generalization of metric spaces: rectangular M−metric spaces, Mathematical Sciences, 12, (2018), 223–233. Search in Google Scholar

B. E. Rhoades, Contractive definitions and continuity, Contemp. Math., 72, (1988), 233–245. Search in Google Scholar

S. Shukla, Partial rectangular metric spaces and fixed point theorems, Sci. World J., 2014, (2014), 1–12. Search in Google Scholar

V. M. Sehgal, On fixed and periodic points for a class of mappings, J. London Math. Soc. 2(5), (1972), 571–576. Search in Google Scholar

S. Shukla, Partial b−Metric Spaces and Fixed Point Theorems, Mediterr. J. Math., 11, (2014), 703–711. Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics