EMPLOYING GENERALIZED (ψ,θ,φ)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
We establish fixed point and multidimensional fixed point results satis- fying generalized (ψ,θ,φ)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypoth- esis. Our results generalize, extend and modify several well-known results in the literature.
Abstract
We establish fixed point and multidimensional fixed point results satis- fying generalized (ψ,θ,φ)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypoth- esis. Our results generalize, extend and modify several well-known results in the literature.
참고문헌 (21)
- A. Alotaibi, "Coupled coincidence points for monotone operators in partially ordered metric spaces", Fixed Point Theory Appl, pp.44~ (2011)
- S.M. Alsulami, "Some coupled coincidence point theorems for a mixed monotone opera-tor in a complete metric space endowed with a partial order by using altering distance functions", Fixed Point Theory Appl, pp.194~ (2013)
- T.G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal, 65(7), pp.1379~1393 (2006)
- B. Deshpande, "Coincidence point results for weak Ψ- φ contraction on partially ordered metric spaces with application", Facta Universitatis Ser. Math. Inform, 30(5), pp.623~648 (2015)
- Bhavana Deshpande, "EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS", East Asian Mathematical Journal, 32(3), pp.333~354 (2016), 영남수학회[DOI]
- B. Deshpande, "On coincidence point theorem for new contractive condition with application", Facta Universitatis Ser. Math. Inform, 32(2), pp.209~229 (2017)
- B. Deshpande, "Multidimensional coincidence point results for generalized (Ψ, θ, φ)-contraction on ordered metric spaces", J. Nonlinear Anal. Appl., 2017(2), pp.132~143 (2017)
- Bhavana Deshpande, "UTILIZING ISOTONE MAPPINGS UNDER GERAGHTY-TYPE CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION", 순수 및 응용수학, 25(4), pp.279~295 (2018), 한국수학교육학회[DOI]
- B. Deshpande, "Application of coupled fixed point technique in solving in-tegral equations on modified intuitionistic fuzzy metric spaces", Adv. Fuzzy Syst., 2014
- B. Deshpande, "Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations", Afr. Mat., 26(3-4), pp.317~343 (2015)
- I.M. Erhan, "Remarks on coupled coincidence point results for a generalized compatible pair with applications", Fixed Point Theory Appl, pp.207~ (2014)
- A. George, "On some results in fuzzy metric spaces", Fuzzy Sets Syst, 64, pp.395~399 (1994)
- J. Harjani, "Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations", Nonlinear Anal, 72, pp.1188~1197 (2010)
- J. Harjani, "Fixed point theorems for mixed monotone operators and applications to integral equations", Nonlinear Anal., 74, pp.1749~1760 (2011)
- V. Istratescu, "An Introduction to Theory of Probabilistic Metric Spaces with Applica-tions" (1974), Ed, Tehnica
- N.V. Luong, "Coupled fixed points in partially ordered metric spaces and application", Nonlinear Anal., 74, pp.983~992 (2011)
- J.J. Nieto, "Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations", Order, 22, pp.223~239 (2005)
- 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)
- A. Razani, "Coupled coincidence point results for (Ψ, α, β)-weak con-tractions in partially ordered metric spaces", J. Appl. Math (2012)
- B. Schweizer, "Statistical metric spaces", Pacific J. Math., 10, pp.314~334 (1960)
- F. Shaddad, "Coupled point results in partially ordered metric spaces without compatibility", Fixed Point Theory Appl, pp.204~ (2014)
