A study on parametric soft $S$-metric spaces
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A generalization of classical metric, namely parametric metric was introduced by Hussain et al. in \cite{hussain1}. This construction has a twofold significance: it deals with metric conditions and allows for the possibility of performing parametric soft $S$-metric space, specifically for the training of fixed point type theorems. This paper presents new insights into this construction and establishes various fixed point theorems in this space.
Abstract
A generalization of classical metric, namely parametric metric was introduced by Hussain et al. in \cite{hussain1}. This construction has a twofold significance: it deals with metric conditions and allows for the possibility of performing parametric soft $S$-metric space, specifically for the training of fixed point type theorems. This paper presents new insights into this construction and establishes various fixed point theorems in this space.
참고문헌 (19)
- N. Hussain, "A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces", Abstract and Applied Analysis, pp.16~ (2014)
- J. G. Lee, "Neighborhood Structures and Continuities via Cubic Sets", Axioms, 11(406), pp.1~23 (2022)
- G. S¸enel, "Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems", Mathematics, 8, pp.1690~ (2020)
- A. Mutlu, "Bipolar metric spaces and some fixed point theorems", Journal of nonlinear science and applications, 9, pp.5362~5373 (2016)
- N. Ta¸s, "On parametric S-metric spaces and fixed-point type theorems for expansive mappings", Journal of Mathematics, 2016, pp.6~ (2016)
- N. Hussain, "Fixed point results for various contractions in parametric and fuzzy b-metric spaces", Journal of Nonlinera Science and Its Applications, 8(5), pp.719~739 (2015)
- D. Molodtsov, "Soft set theory-first results", Comput. Math. Appl, 37, pp.19~31 (1999)
- G. S¸enel, "Advanced soft relation and soft mapping", International Journal of Computational Intelligence Syst, 14(1), pp.461~470 (2021)
- G. S¸enel, "A new approach to Hausdorff Space theory via the soft sets", Mathematical Problems in Eng, (9), pp.1~6 (2016)
- G. S¸enel, "Soft topological subspaces", Ann. Fuzzy Math. Inform, 10(4), pp.525~535 (2015)
- G. S¸enel, "Soft closed sets on soft bitopological space", Journal of New Results in Sci, 3(5), pp.57~66 (2014)
- S. Das, "Soft metric", Ann. Fuzzy Math. Inform, 6(1), pp.77~94 (2013)
- M. I. Yazar, "Fixed point theorems of soft contractive mappings", Filomat, 30(2), pp.269~279 (2016)
- H. Long-Guang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332, pp.1468~1476 (2007)
- B. E Rhoades, "A comparison of various definition of contractive mappings", Trans. Amer. Math. Soc, 226, pp.257~290 (1977)
- C. Gunduz Aras, "A study on soft S-metric spaces", Commun. Math. and Appl, 9(4), pp.1~11 (2018)
- S. Bayramov, "A study on bipolar soft metric spaces", Filomat, 37(10), pp.3217~3224 (2023)
- P. K. Maji, "Soft set theory", Comput. Math. Appl, 45, pp.555~562 (2013)
- S. Bayramov, "Soft locally compact spaces and soft paracompact spaces", J. Math. System Sci, 3, pp.122~130 (2013)