KaydedilenlerDerginizi ekleyin

Dergiler / Communications in Advanced Mathematical Sciences / 2018 / Cilt: 1 - Sayı: 2

Fixed Point Sets of Multivalued Contractions and Stability Analysis

Nikhilesh METİYA
Binayak S. CHOUDHURY
Sunirmal KUNDU
Sayfa
163–171
Yayın Tarihi
2018-12-24
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

There are two illustrative examples.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we derive a fixed point result for a multivalued generalized almost contraction which contains several rational terms through a six variables function and a four variables function.
📊
Temel Bulgular & Veri:The space is assumed to satisfy some regularity conditions.
💡
Sonuç & Katkı:There are two illustrative examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hausdorff metric · Generalized almost contraction · Fixed point

Abstract

In this paper we derive a fixed point result for a multivalued generalized almost contraction which contains several rational terms through a six variables function and a four variables function. The space is assumed to satisfy some regularity conditions. In another part of the paper we establish stability results for fixed point sets of these contractions. The corresponding singlevalued case is also discussed. The results are obtained without any assumption of continuity. There are two illustrative examples.

🔖

Bu Makaleye Atıf Yap

METİYA, N., CHOUDHURY, B. S., KUNDU, S. (2018). Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences, Cilt: 1 - Sayı: 2, 163–171. https://ajindex.com/articles/748314

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. J. P. Aubin, H. Frankowska, Set Valued Analysis, Springer, Revised Version, 2009
  2. S. B. Jr. Nadler, Multivalued contraction mapping, Pacific J. Math., 30 (1969), 475–488
  3. B. S. Choudhury, N. Metiya, Fixed point theorems for almost contractions in partially ordered metric spaces, Ann. Univ. Ferrara, 58 (2012), 21–36
  4. B. S. Choudhury, N. Metiya, C. Bandyopadhyay, Fixed points of multivalued a-admissible mappings and stability of fixed point sets in metric spaces, Rend. Circ. Mat. Palermo, 64 (2015), 43-55
  5. B. S. Choudhury, N. Metiya, T. Som, C. Bandyopadhyay, Multivalued fixed point results and stability of fixed point sets in metric spaces, Facta Univ. Ser. Math. Inform., 30(4) (2015), 501–512
  6. B. S. Choudhury, N. Metiya, C. Bandyopadhyay, P. Maity, Fixed points of multivalued mappings satisfying hybrid rational Pata-type inequalities, The Journal of Analysis, (2018)
  7. M. E. Gordji, H. Baghani, H. Khodaei, M. Ramezani, A generalization of Nadler’s fixed point theorem, J. Nonlinear Sci. Appl., 3 (2010), 148–151
  8. A. A. Harandi, End points of setvalued contractions in metric spaces, Nonlinear Anal., 72 (2010), 132–134
  9. W. Sintunavarat, P. Kumam, Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition, Appl. Math. Lett., 22 (2009), 1877–1881
  10. B. Samet, C. Vetro, P. Vetro, Fixed point theorems for a $\alpha-\psi$-contractive type mappings, Nonlinear Anal., 75 (2012), 2154–2165
  11. S. Chandok, Some fixed point theorems for $(\alpha,\ \beta)$-admissible Geraghty type contractive mappings and related results, Math. Sci., 9 (2015), 127–135
  12. B. S. Choudhury, N. Metiya, S. Kundu, Existence and stability results for coincidence points of nonlinear contractions, Facta Univ. Ser. Math. Inform., 32(4) (2017), 469–483
  13. A. Felhi, H. Aydi, D. Zhang, Fixed points for $\alpha$- admissible contractive mappings via simulation functions, J. Nonlinear Sci. Appl., 9 (2016), 5544–5560
  14. N. Hussain, E. Karapinar, P. Salimi, F. Akbar, $\alpha$-admissible mappings and related fixed point theorems, J. Inequal. Appl., 2013 (2013), page 114
  15. E. Karapinar, B. Samet, Generalized $\alpha - \psi $ contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., 2012 (2012), Article ID 793486
  16. E. Karapinar, P. Shah, K. Tas, Generalized $\alpha - \psi $ - contractive type mappings of integral type and relate