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Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application

Yıl 2022, Cilt: 10 Sayı: 2, 332 - 340, 31.10.2022

Öz

In this paper, we proved a fixed point theorem for single-valued mapping in convex partial symmetric spaces. In doing so, we extended and generalised the theorem due to Asim et al. [3] by employing a convex structure for single-valued Kannan type contractions. We also provided an illustrative example to support the results and an
application to integral equation.

Destekleyen Kurum

None

Proje Numarası

NIL

Teşekkür

None

Kaynakça

  • [1] Agarwal, R. P., O'Regan, D., Sahu, D. R., Fixed Point Theory for Lipschitzian-Type Mappings with Applications, Springer, Heidelberg (2009), 2009.
  • [2] Asadi, M., Some results of fixed point theorems in convex metric spaces, Nonlinear Funct. Anal. Appl, 19(2)(2014), 171-175.
  • [3] Asim, M., Khan, A. R., Imdad, M., Fixed point results in Partial Symmetric spaces with an application, Axioms (MDPI), 8(1)(2019), 1-15.
  • [4] Beg, I., Abbas, M., Common fixed points and best approximation in convex metric spaces, Soochow Journal of Mathematics, 33(4)(2007), 729-738.
  • [5] Cho, S., Bae, J., Common fixed point theorems for mappings satisfying property (E.A.) on cone metric spaces, Mathematical and Computer Modelling, 53(5-6)(2011), 945-951.
  • [6] Hunter, J. K., Nachtergaele, B., Applied Analysis, River Edge, NJ: World Scientific Publishing, Co., Inc.; 2001.
  • [7] Imdad, M., Javid, A., Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A.), The Belgian Mathematical Society. Bulletin of the Belgian Mathematical Society-Simon Stevin, 16(3)(2000), 421-433.
  • [8] Karapinar, E., Fixed point theorems in cone Banach spaces, Fixed Point Theory and Applications, 2009, Article ID609281(2009). doi:10.1155/2009/609281
  • [9] Matthews, S., Partial metric topology in Papers on General Topology and Applications, Eighth Summer Conference at Queens College, Eds. S. Andima et al., Annals of the New York Academy of Sciences, Vol. 728(1994), 183-197.
  • [10] Moosaei, M., Fixed point theorems in convex metric spaces, Springer, Fixed Point Theory and Applications, 2012(1)(2012), 1-6.
  • [11] Nazam, M., Arshad, M., Aftab, H., On Convex Structures in Pseudo Metric Spaces and Fixed Point Theorems, Publ. j.Ana. Num. Ther, 5(1)(2017), 57-62.
  • [12] Oussaeif, T., Fixed point theorems in convex partial metric spaces, Konuralp Journal of Mathematics, 2(2)(2014), 96-101.
  • [13] Takahashi, T., A convexity in metric spaces and non-expansive mapping, Kodai Math. Sem. Rep., 22(2) (1970), 142-149.
Yıl 2022, Cilt: 10 Sayı: 2, 332 - 340, 31.10.2022

Öz

Proje Numarası

NIL

Kaynakça

  • [1] Agarwal, R. P., O'Regan, D., Sahu, D. R., Fixed Point Theory for Lipschitzian-Type Mappings with Applications, Springer, Heidelberg (2009), 2009.
  • [2] Asadi, M., Some results of fixed point theorems in convex metric spaces, Nonlinear Funct. Anal. Appl, 19(2)(2014), 171-175.
  • [3] Asim, M., Khan, A. R., Imdad, M., Fixed point results in Partial Symmetric spaces with an application, Axioms (MDPI), 8(1)(2019), 1-15.
  • [4] Beg, I., Abbas, M., Common fixed points and best approximation in convex metric spaces, Soochow Journal of Mathematics, 33(4)(2007), 729-738.
  • [5] Cho, S., Bae, J., Common fixed point theorems for mappings satisfying property (E.A.) on cone metric spaces, Mathematical and Computer Modelling, 53(5-6)(2011), 945-951.
  • [6] Hunter, J. K., Nachtergaele, B., Applied Analysis, River Edge, NJ: World Scientific Publishing, Co., Inc.; 2001.
  • [7] Imdad, M., Javid, A., Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A.), The Belgian Mathematical Society. Bulletin of the Belgian Mathematical Society-Simon Stevin, 16(3)(2000), 421-433.
  • [8] Karapinar, E., Fixed point theorems in cone Banach spaces, Fixed Point Theory and Applications, 2009, Article ID609281(2009). doi:10.1155/2009/609281
  • [9] Matthews, S., Partial metric topology in Papers on General Topology and Applications, Eighth Summer Conference at Queens College, Eds. S. Andima et al., Annals of the New York Academy of Sciences, Vol. 728(1994), 183-197.
  • [10] Moosaei, M., Fixed point theorems in convex metric spaces, Springer, Fixed Point Theory and Applications, 2012(1)(2012), 1-6.
  • [11] Nazam, M., Arshad, M., Aftab, H., On Convex Structures in Pseudo Metric Spaces and Fixed Point Theorems, Publ. j.Ana. Num. Ther, 5(1)(2017), 57-62.
  • [12] Oussaeif, T., Fixed point theorems in convex partial metric spaces, Konuralp Journal of Mathematics, 2(2)(2014), 96-101.
  • [13] Takahashi, T., A convexity in metric spaces and non-expansive mapping, Kodai Math. Sem. Rep., 22(2) (1970), 142-149.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Articles
Yazarlar

Lucas Wangwe Bu kişi benim

Santosh Kumar

Proje Numarası NIL
Yayımlanma Tarihi 31 Ekim 2022
Gönderilme Tarihi 25 Kasım 2020
Kabul Tarihi 11 Ağustos 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 2

Kaynak Göster

APA Wangwe, L., & Kumar, S. (2022). Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application. Konuralp Journal of Mathematics, 10(2), 332-340.
AMA Wangwe L, Kumar S. Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application. Konuralp J. Math. Ekim 2022;10(2):332-340.
Chicago Wangwe, Lucas, ve Santosh Kumar. “Fixed Point Theorem for Single Valued Mapping in Convex Partial Symmetric Spaces With an Application”. Konuralp Journal of Mathematics 10, sy. 2 (Ekim 2022): 332-40.
EndNote Wangwe L, Kumar S (01 Ekim 2022) Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application. Konuralp Journal of Mathematics 10 2 332–340.
IEEE L. Wangwe ve S. Kumar, “Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application”, Konuralp J. Math., c. 10, sy. 2, ss. 332–340, 2022.
ISNAD Wangwe, Lucas - Kumar, Santosh. “Fixed Point Theorem for Single Valued Mapping in Convex Partial Symmetric Spaces With an Application”. Konuralp Journal of Mathematics 10/2 (Ekim 2022), 332-340.
JAMA Wangwe L, Kumar S. Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application. Konuralp J. Math. 2022;10:332–340.
MLA Wangwe, Lucas ve Santosh Kumar. “Fixed Point Theorem for Single Valued Mapping in Convex Partial Symmetric Spaces With an Application”. Konuralp Journal of Mathematics, c. 10, sy. 2, 2022, ss. 332-40.
Vancouver Wangwe L, Kumar S. Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application. Konuralp J. Math. 2022;10(2):332-40.
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