Fixed Point and Best Proximity Point Results in PIV-S-Metric Spaces

[1] M.S. Asil, S. Sedghi, and Z.D. Mitrović, Partial S-metric spaces and coincidence points, Filomat 33 (2019), no. 14, 4613–4626. AsilM.S. SedghiS. MitrovićZ.D. Partial S-metric spaces and coincidence points Filomat 33 2019 14 4613 4626 Search in Google Scholar

[2] M. Asim, M. Imdad, and S. Radenović, Fixed point results in extended rectangular b-metric spaces with an application, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 81 (2019), no. 2, 43–50. AsimM. ImdadM. RadenovićS. Fixed point results in extended rectangular b-metric spaces with an application Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 81 2019 2 43 50 Search in Google Scholar

[3] M. Asim, A.R. Khan, and M. Imdad, Fixed point results in partial symmetric spaces with an application, Axioms 8 (2019), no. 1, 13, 15 pp. AsimM. KhanA.R. ImdadM. Fixed point results in partial symmetric spaces with an application Axioms 8 2019 1 13, 15 pp Search in Google Scholar

[4] M. Asim, A.R. Khan, and M. Imdad, Rectangular Mb-metric spaces and fixed point results, J. Math. Anal. 10 (2019), no. 1, 10–18. AsimM. KhanA.R. ImdadM. Rectangular Mb-metric spaces and fixed point results J. Math. Anal. 10 2019 1 10 18 Search in Google Scholar

[5] M. Aslantaş, H. Sahin, and U. Sadullah, Some generalizations for mixed multivalued mappings, Appl. Gen. Topol. 23 (2022), no. 1, 169–178. AslantaşM. SahinH. SadullahU. Some generalizations for mixed multivalued mappings Appl. Gen. Topol. 23 2022 1 169 178 Search in Google Scholar

[6] I.A. Bakhtin, The contraction mapping principle in almost metric space (in Russian), in: A.V. Shtraus (ed.), Functional Analysis, No. 30 (in Russian), Ul'yanovsk. Gos. Ped. Inst., Ul'yanovsk, 1989, pp. 26–37. BakhtinI.A. The contraction mapping principle in almost metric space (in Russian) in: ShtrausA.V. (ed.), Functional Analysis, No. 30 (in Russian) Ul'yanovsk. Gos. Ped. Inst. Ul'yanovsk 1989 26 37 Search in Google Scholar

[7] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133–181. BanachS. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales Fund. Math. 3 1922 133 181 Search in Google Scholar

[8] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), no. 1–2, 31–37. BranciariA. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces Publ. Math. Debrecen 57 2000 1–2 31 37 Search in Google Scholar

[9] S. Chandok, D. Kumar, and C. Park, C^∗-algebra-valued partial metric space and fixed point theorems, Proc. Indian Acad. Sci. Math. Sci. 129 (2019), no. 3, Paper No. 37, 9 pp. DOI: 10.1007/s12044-019-0481-0. ChandokS. KumarD. ParkC. C∗-algebra-valued partial metric space and fixed point theorems Proc. Indian Acad. Sci. Math. Sci. 129 2019 3 Paper No. 37, 9 pp 10.1007/s12044-019-0481-0 Open DOISearch in Google Scholar

[10] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5–11. CzerwikS. Contraction mappings in b-metric spaces Acta Math. Inform. Univ. Ostraviensis 1 1993 5 11 Search in Google Scholar

[11] K. Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z. 112 (1969), 234–240. FanK. Extensions of two fixed point theorems of F. E. Browder Math. Z. 112 1969 234 240 Search in Google Scholar

[12] L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), no. 2, 1468–1476. HuangL.-G. ZhangX. Cone metric spaces and fixed point theorems of contractive mappings J. Math. Anal. Appl. 332 2007 2 1468 1476 Search in Google Scholar

[13] M. Iranmanesh, S. Radenović, and F. Soleimany, Common fixed point theorems in partial idempotent-valued metric spaces, Fixed Point Theory 22 (2021), no. 1, 241–249. IranmaneshM. RadenovićS. SoleimanyF. Common fixed point theorems in partial idempotent-valued metric spaces Fixed Point Theory 22 2021 1 241 249 Search in Google Scholar

[14] M. Iranmanesh, F. Soleimany, and S. Radenović, Some results on fixed points and best approximation in partial idempotent-valued metric spaces, Scientific Publications of the State University of Novi Pazar Ser. A: Appl. Math. Inform. and Mech. 11 (2019), no. 2, 61–74. IranmaneshM. SoleimanyF. RadenovićS. Some results on fixed points and best approximation in partial idempotent-valued metric spaces Scientific Publications of the State University of Novi Pazar Ser. A: Appl. Math. Inform. and Mech. 11 2019 2 61 74 Search in Google Scholar

[15] T. Kamran, M. Samreen, and Q.U. Ain, A generalization of b-metric space and some fixed point theorems, Mathematics 5 (2017), no. 2, 19, 7 pp. KamranT. SamreenM. AinQ.U. A generalization of b-metric space and some fixed point theorems Mathematics 5 2017 2 19, 7 pp Search in Google Scholar

[16] Z. Ma and L. Jiang, C^∗-algebra-valued b-metric spaces and related fixed point theorems, Fixed Point Theory Appl. (2015), 2015:222, 12 pp. MaZ. JiangL. C∗-algebra-valued b-metric spaces and related fixed point theorems Fixed Point Theory Appl. 2015 2015 222, 12 pp Search in Google Scholar

[17] Z. Ma, L. Jiang, and H. Sun, C^∗-algebra-valued metric spaces and related fixed point theorems, Fixed Point Theory Appl. (2014), 2014:206, 11 pp. MaZ. JiangL. SunH. C∗-algebra-valued metric spaces and related fixed point theorems Fixed Point Theory Appl. 2014 2014 206, 11 pp Search in Google Scholar

[18] S.G. Matthews, Partial metric topology, in: S. Andima et al. (eds.), Papers on General Topology and Applications, Ann. New York Acad. Sci., 728, New York Academy of Sciences, New York, 1994, pp. 183–197. MatthewsS.G. Partial metric topology in: AndimaS. (eds.), Papers on General Topology and Applications Ann. New York Acad. Sci., 728, New York Academy of Sciences New York 1994 183 197 Search in Google Scholar

[19] N. Mlaiki, M. Asim, and M. Imdad, C^∗-algebra valued partial b-metric spaces and fixed point results with an application, Mathematics 8 (2020), no. 8, 1381, 11 pp. DOI: 10.3390/math8081381. MlaikiN. AsimM. ImdadM. C∗-algebra valued partial b-metric spaces and fixed point results with an application Mathematics 8 2020 8 1381, 11 pp 10.3390/math8081381 Open DOISearch in Google Scholar

[20] S. Sedghi, N. Shobe, and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik 64 (2012), no. 3, 258–266. SedghiS. ShobeN. AlioucheA. A generalization of fixed point theorems in S-metric spaces Mat. Vesnik 64 2012 3 258 266 Search in Google Scholar

[21] S. Shukla, Partial b-metric spaces and fixed point theorems, Mediterr. J. Math. 11 (2014), no. 2, 703–711. ShuklaS. Partial b-metric spaces and fixed point theorems Mediterr. J. Math. 11 2014 2 703 711 Search in Google Scholar