Certain Denouement in Complete Metric Space with Application of Fixed-Point Theory
Main Article Content
Abstract
In this article, Author designed to reveal some developments in complete metric space with application of fixed-point theory with conceptions of number of great and renowned mathematicians. Applying square inequality and satisfies many results in complete metric space.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
Ankushrao, M.A. and Sayyed, S.A. (2022) A review of exploring applications of fixed-point theory across mathematical spaces and equations, International Journal of Food and Nutritional Sciences, Vol. 11, Iss 13, 1356-1364.
Ankushrao, M.A. and Sayyed, S.A, (2023) Exploring applications of fixed-point theory across mathematical spaces and equations, Monthly Baraheen, Vol. 15, Iss 177, 2201-2209,
Dolhare U.P. and Khanpate V.B., (2016), Generalized Study of Commuting Self-Maps and Fixed Points, Int.Jou.Sci.& Res., Vol.5(12), 648-651.
Gornicki, J., (2017) Fixed point theorem for Kannan type mappings. J. Fixed Point Theory Appl.19, 2145–2152.
Jachymski, J., (1995) Fixed point theorems for expansive mappings, Math. Japonica, 42, No.1, 131-136.
Jain, S.K. and Sayyed, S.A, (2019) " Nonlinear contraction satisfying square inequality and fixed point theory”, International Journal of Research and Analytical Reviews , Vol. 6, Issue 2,923-2929.
Jungck, G., (1986), Compatible mappings and common fixed points, Int. J. Math. Sci. 9(4) 771-779.
Liu, W., Wu, J. and Li, Z., (2005), Common fixed points of single valued and multivalued maps, Int. J Math. Sci., 19, 3045-3055.
Mane, S.P. and Sayyed, S.A. (2021) Study on contractive maps with different types of fixed points, The Journal of Oriental Research Madras, Vol. MMXXII-XCIII-II, 70-84.
Murthy, P.P., Vara Prasad, K.N.V.V and Rashmi, (2013), Fixed points of nonlinear contraction, Adv. Fixed point Theory, 3 No. 4, 600-607.
Sayyed, S.A., Devghare, K. and Badshah, V.H., (2006) A Note on Fixed Point for Selfmaps”, Acta Ciencia Indica”, Vol. XXXII M, No. 4, 1595-1596.
Sayyed, S.A. and Jain, S.K. (2022), Pairs of Compatible Type (B) Mappings and Fixed-Point Theory in Banach Space, Journal of Mathematical Sciences & Computational Mathematics, Vol.4, No1, 87-96.
Suhas, P., and Dolhare U.P., (2016), A Note on Development of Metric fixed-point Theory. International Journal of Advanced Research Res.4(8), vol. 4(31).
Vyas, L. And Sayyed, S.A., (2014) “Common Fixed Points For Multivalued Mappings” , Advances In Applied Mathematical Biosciences,Vol.5 No.119-25 .
Yang, Z., (2016) Common fixed point for three pairs of slf maps satisfying weakly commuting and weakly compatible condition in generalized metric space, Journal of Nonlinear Science and Applications, Vol.9,3962-3979.