References
- [1] I. A. Bakhtin, The contraction mapping principle in almost metric space, Functional analysis, 30 (Russian), Ulyanovsk. Gos. Ped. Inst., Ulyanovsk, (1989), 26–37.
- [2] S. Banach, Surles opérations dans les ensembles abstraits etleur applicationaux équations intégrales, Fundamenta Mathematicae, 3, (1922), 133181.
- [3] L. B. Ćirić, Generalised contractions and fixed-point theorems, Publ. Inst. Math., 12 (26), (1971), 9–26.
- [4] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform., Univ. Ostrav, 1, (1993), 5–11.
- [5] M. Fréchet, Sur quelques points du calcul fonctionnel, palemo, (30 via Ruggiero), (1906).
- [6] M. Joshi, A. Tomar, and S. K. Padaliya, Fixed point to fixed ellipse in metric spaces and discontinuous activation function, Appl. Math. E-Notes, 21 (2021), 225–237.
- [7] M. Joshi, A. Tomar, On unique and nonunique fixed points in metric spaces and application to Chemical Sciences, J. Funct. Spaces, 2021. https://doi.org/10.1155/2021/5525472
-
[8] M. Joshi, A. Tomar, H. A. Nabwey and R. George, On unique and nonunique fixed points and fixed circles in
\mathcal{M}_v^b - [9] M. Joshi, A. Tomar, and S. K. Padaliya, On geometric properties of non-unique fixed points in b−metric spaces, Chapter in the book “Fixed Point Theory and its Applications to Real World Problem” Nova Science Publishers, New York, USA., (2021), 33–50. ISBN:978-1-53619-336-7
- [10] M. Joshi, A. Tomar, and S. K. Padaliya, Fixed point to fixed disc and application in partial metric spaces, Chapter in the book “Fixed point theory and its applications to real world problem” Nova Science Publishers, New York, USA., (2021), 391–406. ISBN:978-1-53619-336-7
- [11] M. S. Khan, M. Swaleh, and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Aust. Math. Soc., 30 (1), (1984), 1–9.
- [12] N. Y. Özgür, Fixed-disc results via simulation functions, Turk. J. Math., 43, (2019), 2795–2805.
- [13] B. Said, A. Tomar, A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation, Math. Morav. 21 (2), (2017), 15–25.
- [14] B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for (α − ψ)−contractive type mappings, Nonlinear Anal., 75, (2012), 2154–2165.
- [15] S. Sedghi, N. Shobe, and T. Dosenovic, Fixed point results in 𝒮−metric spaces, Nonlinear Funct. Anal. Appl., 20 (1), (2015), 55–67.
- [16] S. Sedghi, A. Gholidahneh, T. Dosenovic, J. Esfahani, and S. Radenovic, Common fixed point of four maps in 𝒮𝒷−metric spaces, J. Linear Topol. Algebra, 5(2016), 93–104.
- [17] S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorems in 𝒮−metric spaces, Mat. Vesnik, 64, (2012), 258–266.
- [18] W. Sintunavarat, Nonlinear integral equations with new admissibilty types in b−metric spaces, J. Fixed Point Theory Appl., doi10.1007/s11784-015-0276-6, (2017).
- [19] N. Souayah, N. Mlaiki, A fixed point theorem in Sb−metric space, J. Math., Computer Sci., 16, (2016), 131–139.
- [20] Tas, N. and Özgür, N.Y., On parametric S−metric spaces and fixed point type theorems for expansive mappings, J. Math., (2016).
- [21] N. Taş, and N. Y. Özgür, Some fixed point results on parametric Nb−metric spaces, Commu. Korean Math. Soc., 943–960, 33 (3), (2018), 943–960.
- [22] A. Tomar, and E. Karapinar, On variants of continuity and existence of fixed point via Meir-Keeler contractions in MC-spaces, J. Adv. Math. Stud., 9 (2), (2016), 348–359.
- [23] A. Tomar, R. Sharma, S. Beloul, and A. H. Ansari, C−class functions in generalized metric spaces and applications, J. Anal., (2019), 1–18.
- [24] A. Tomar, M. Joshi, S. K. Padaliya, B. Joshi, and A. Diwedi, Fixed point under set-valued relation-theoretic nonlinear contractions and application, Filomat, 33 (14), (2019), 4655–4664.
- [25] A. Tomar, M. Joshi, M. and S. K. Padaliya, Fixed point to fixed circle and activation function in partial metric space, J. Appl. Anal., 28 (1), (2021), 2021–2057. https://doi.org/10.1515/jaa
- [26] A. Tomar and M. Joshi, Near fixed point, near fixed interval circle and near fixed interval disc in metric interval space, Chapter in the book “Fixed Point Theory and its Applications to Real World Problem” Nova Science Publishers, New York, USA., 131–150, 2021. ISBN: 978-1-53619-336-7
- [27] A. Tomar, S. Beloul, R. Sharma, S. Upadhyay, Common fixed point theorems via generalized condition (B) in quasi-partial metric space and applications, Demonstr. Math., 50 (1), (2017), 278–298.
- [28] A. Tomar, Giniswamy, C. Jeyanthi, P. G. Maheshwari, On coincidence and common fixed point of six maps satisfying F−contractions, TWMS J. App. Eng. Math., 6 (2), (2016), 224–231.
- [29] A. Tomar, and R. Sharma, Almost alpha-Hardy-Rogers-F-contractions and applications, Armen. J. Math., 11 (11), (2019), 1–19.
- [30] M. Ughade, D. Turkoglu, S. K. Singh, R. D. Daheriya, Some fixed point theorems in Ab−metric space, British J. Math. & Computer Science 19 (6), (2016), 1–24.