Multidimensional Coincidence Point Results for Contraction Mapping Principle
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
The main objective of this article is to establish some coincidence point theorem for g-non-decreasing mappings under contraction mapping principle on a partially ordered metric space. Furthermore, we constitute multidimensional results as a simple consequences of our unidimensional coincidence point theorem. Our results improve and generalize various known results.
Abstract
The main objective of this article is to establish some coincidence point theorem for g-non-decreasing mappings under contraction mapping principle on a partially ordered metric space. Furthermore, we constitute multidimensional results as a simple consequences of our unidimensional coincidence point theorem. Our results improve and generalize various known results.
참고문헌 (23)
- S.A. Al-Mezel, "Discussion on multidimen-sional coincidence points via recent publications", Abstr. Appl. Anal (2014)
- 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)
- M. Berzig, "An extension of coupled xed point's concept in higher dimen-sion and applications", Comput. Math. Appl, 63(8), pp.1319~1334 (2012)
- B. Deshpande, "Coincidence point results for weak 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-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]
- A. Handa, "Multidimensional coincidence point re-sults for generalized contraction on partially ordered metric spaces", Pramana Research Journal, 9(3), pp.708~720 (2019)
- I.M. Erhan, "Remarks on coupled coincidence point results for a generalized compatible pair with applications", Fixed Point Theory Appl, pp.207~ (2014)
- E. Karapinar, "A note on N-Fixed point theorems for nonlinear contractions in partially ordered metric spaces", Fixed Point Theory Appl (2013)
- E. Karapinar, "Meir-Keeler type multi-dimensional xed point theorems in partially ordered metric spaces", Abstr. Appl. Anal (2013)
- E. Karapinar, "Discussion on coupled and tripled coincidence point theorems for contractive mappings without the mixed g-monotone property", Fixed Point Theory Appl (2014)
- A. Razani, "Coupled coincidence point results for-weak con-tractions in partially ordered metric spaces", J. Appl. Math (2012)
- A. Roldan, "Multidimensional point theorems in partially ordered metric spaces", J. Math. Anal. Appl, 396, pp.536~545 (2012)
- A. Roldan, "Some multidimensional xed point theorems on partially preordered Gmetric spaces under contractivity conditions", Fixed Point The-ory Appl (2013)
- A. Roldan, "Multidimensional xed-point theorems in partially ordered complete partial metric spaces under contractivity conditions", Abstr. Appl. Anal (2013)
- A. Roldan, "Some remarks on multi-dimensional xed point theorems", Fixed Point Theory, 15(2), pp.545~558 (2014)
- B. Samet, "Discussion on some coupled point theorems", Fixed Point Theory Appl, pp.50~ (2013)
- F. Shaddad, "Coupled point results in partially ordered metric spaces without compatibility", Fixed Point Theory Appl, pp.204~ (2014)
- Y. Su, "Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations", Fixed Point Theory Appl, pp.227~ (2014)
- S.Wang, "Coincidence point theorems for G-isotone mappings in partially ordered metric spaces", Fixed Point Theory Appl, pp.96~ (2013)
- S. Wang, "Multidimensional xpoint theorems for isotone mappings in partially or-dered metric spaces", Fixed Point Theory Appl, pp.137~ (2014)
