Application of Contraction Mapping Principle in Integral Equation

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참고문헌 (28)

1. Saleh A. Al-Mezel, "Discussion on “Multidimensional Coincidence Points” via Recent Publications", Abstract and Applied Analysis, 2014, pp.1~13 (2014), Hindawi Limited[DOI]
2. Abdullah Alotaibi, "Coupled coincidence points for monotone operators in partially ordered metric spaces", Fixed Point Theory and Applications, 2011(1), pp.44~ (2011), Springer Science and Business Media LLC[DOI]
3. Saud M Alsulami, "Some coupled coincidence point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions", Fixed Point Theory and Applications, 2013(1), pp.194~ (2013), Springer Science and Business Media LLC[DOI]
4. T. Gnana Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Analysis: Theory, Methods & Applications, 65(7), pp.1379~1393 (2006), Elsevier BV[DOI]
5. Binayak S. Choudhury, "A coupled coincidence point result in partially ordered metric spaces for compatible mappings", Nonlinear Analysis: Theory, Methods & Applications, 73(8), pp.2524~2531 (2010), Elsevier BV[DOI]
6. B. Deshpande, "Nonlinear contractive condition for gener-alized compatible mappings in consideration of common fixed point on fuzzy metric spaces", J. Fuzzy Math, 24(3), pp.593~608 (2016)
7. B. Deshpande, "Common fixed point results for generalized compatible pair on modified intuitionistic fuzzy metric spaces", J. Fuzzy Math, 23(4), pp.937~954 (2015)
8. B. Deshpande, "Application of generalized weakly compatibility in common fixed point results on fuzzy metric spaces", J. Fuzzy Math, 24(1), pp.57~73 (2016)
9. B. Deshpande, "Generalized weakly compatible pair of mappings and its application in common fixed point results on modified intuitionistic fuzzy metric spaces", J. Fuzzy Math, 24(1), pp.129~149 (2016)
10. B. Deshpande, "Existence of coupled coincidence point for a generalized compatible pair on partially ordered modified intuitionistic fuzzy metric spaces with applications", J. Fuzzy Math, 24(3), pp.663~698 (2016)
11. B. Deshpande, "Employing generalized compatibility to prove coupled coincidence and fixed point results on fuzzy metric spaces with applications", J. Fuzzy Math, 24(3), pp.699~730 (2016)
12. B. Deshpande, "Common fixed point results under new condition on modified intuitionitic fuzzy metric spaces", J. Fuzzy Math, 24(4), pp.955~976 (2016)
13. İnci M Erhan, "Remarks on ‘Coupled coincidence point results for a generalized compatible pair with applications’", Fixed Point Theory and Applications, 2014(1), pp.207~ (2014), Springer Science and Business Media LLC[DOI]
14. A. George, "On some results in fuzzy metric spaces", Fuzzy Sets Syst, 64, pp.395~399 (1994)
15. Dajun Guo, "Coupled fixed points of nonlinear operators with applications", Nonlinear Analysis: Theory, Methods & Applications, 11(5), pp.623~632 (1987), Elsevier BV[DOI]
16. A. Handa, "Generalized (Ψ, θ, φ)-contraction on partially ordered fuzzy metric spaces with application to the domain of words", J. Fuzzy Math, 27(4), pp.845~873 (2019)
17. J. Harjani, "Fixed point theorems for mixed monotone operators and applications to integral equations", Nonlinear Analysis: Theory, Methods & Applications, 74(5), pp.1749~1760 (2011), Elsevier BV[DOI]
18. J. Harjani, "Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations", Nonlinear Analysis: Theory, Methods & Applications, 72(3-4), pp.1188~1197 (2010), Elsevier BV[DOI]
19. X. Hu, "Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces", Fixed Point Theory Appl, 2011, pp.14~
20. V. Istratescu, "An Introduction to Theory of Probabilistic Metric Spaces with Applica-tions" (1974), Tehnica
21. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetika, 11, pp.336~344 (1975)
22. V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces", Nonlinear Analysis: Theory, Methods & Applications, 70(12), pp.4341~4349 (2009), Elsevier BV[DOI]
23. Nguyen Van Luong, "Coupled fixed points in partially ordered metric spaces and application", Nonlinear Analysis: Theory, Methods & Applications, 74(3), pp.983~992 (2011), Elsevier BV[DOI]
24. Juan J. Nieto, "Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations", Order, 22(3), pp.223~239 (2005), Springer Science and Business Media LLC[DOI]
25. A.C.M. Ran, "A fixed point theorem in partially ordered sets and some applications to matrix equations", Proc. Amer. Math. Soc, 132, pp.1435~1443 (2004)
26. A. Razani, "Coupled coincidence point results for (Ψ, α, β)-weak con-tractions in partially ordered metric spaces", Journal of Applied Mathematics, 2012, pp.1~19 (2012), Hindawi Limited[DOI]
27. B. Schweizer, "Statistical metric spaces", Pacific J. Math, 10, pp.314~334 (1960)
28. Yongfu Su, "Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations", Fixed Point Theory and Applications, 2014(1), pp.227~ (2014), Springer Science and Business Media LLC[DOI]

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