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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 2

FIXED POINT THEOREMS FOR A PAIR OF MAPPINGS SATISFYING A GENERALIZED WEAKLY CONTRACTIVE CONDITION IN ORDERED METRIC SPACES

Hemant Kumar NASHINE
Ishak ALTUN
Pages
243–253
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

At the end of the paper, applications of the previous results to new fixed point results of integral type are also shown.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Fixed point theorems for a pair of mappings which satisfy the condition of being generalized weakly contractive in complete ordered metric spaces are derived.
📊
Key Findings & Data:Fixed point theorems for a pair of mappings which satisfy the condition of being generalized weakly contractive in complete ordered metric spaces are derived.
💡
Conclusion & Impact:At the end of the paper, applications of the previous results to new fixed point results of integral type are also shown.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · Complete metric space · Altering distance function

Abstract

Fixed point theorems for a pair of mappings which satisfy the condition of being generalized weakly contractive in complete ordered metric spaces are derived. At the end of the paper, applications of the previous results to new fixed point results of integral type are also shown.

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Cite This Article

NASHINE, H. K., ALTUN, I. (2022). FIXED POINT THEOREMS FOR A PAIR OF MAPPINGS SATISFYING A GENERALIZED WEAKLY CONTRACTIVE CONDITION IN ORDERED METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 2, 243–253. https://ajindex.com/articles/530475

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References (14)

  1. Agarwal, R.P., El-Gebeily, M.A. and and O’Regan, D. Generalized contractions in partially ordered metric spaces, Applicable Analysis 87 (1), 109–116, 2008.
  2. Alber, Ya.E. and Guerre-Delabriere, S. Principles of weakly contractive maps in Hilbert spaces, in: New Results in Operator Theory and its Applications (I.Gohberg and Yu. Lyubich, eds.) (Oper. Theory Adv. Appl. 98, Birkhauser, Basel, 1997), 7–22.
  3. Abbas, M. and Khan, M.A. Common fixed point theorem of two mappings satisfying a generalized weak contractive condition, Inter. J. Math. Math. Sci., Article ID 131068, 9 pages, 2009.
  4. Altun, I. and Simsek, H. Some fixed point theorems on ordered metric spaces and application, Fixed Point Theory and Applications, Article ID 621492, 17 pages, 2010.
  5. Amini-Harandi, A. and Emami, H. A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Analysis 72 (5), 2238–2242, 2010.
  6. Beg, I. and Butt, A.R. —em Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces, Nonlinear Analysis 71 (9), 3699–3704, 2009.
  7. Beg, I. and Butt, A.R. Fixed points for weakly compatible mappings satisfying an implicit relation in partially ordered metric spaces, Carpathian Journal of Mathematics 25 (1), 1–12, 2009.
  8. Bhaskar, T.G. and Lakshmikantham, V. Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (7), 1379–1393, 2006.
  9. Boyd, D.W. and Wong, J.S.W. On nonlinear contractions, Proc. Amer. Math. Soc. 20, 458–464, 1969. ´Ciri´c, L., Caki´c, N., Rajovi´c, M. and Ume, J.S. Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory and Applications 2008, Article ID 131294, 11 pages, 2008.
  10. Dutta, P.N. and Choudhury, B.S. A generalisation of contraction principle in metric spaces, Fixed Point Theory and Applications, Article ID 406368, 8 Pages, 2008.
  11. Harjani, J. and Sadarangani, K. Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Analysis 71 (7-8), 3403–3410, 2009.
  12. Harjani, J. and Sadarangani, K. Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis 72 (3-4), 1188–1197, 2010.
  13. Khan, M.S., Swaleh, M. and Sessa, S. Fixed point theorems by altering distances between the points, Bulletin of the Australian Mathematical Society 30 (1), 1–9, 1984.
  14. Nieto, J.J. and Rodr´ıguez-Lo´pez, R. C