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Generalized weak contractions with control functions on metric and normed interval spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 16، شماره 12، اسفند 2025، صفحه 9-27 اصل مقاله (415.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32330.4802 | ||
| نویسندگان | ||
| Marzieh Sharifi؛ Sayed Mohamad Sadegh Modarres Mosadegh* | ||
| Department of Mathematical Sciences, Yazd University, Yazd, Iran | ||
| تاریخ دریافت: 22 آبان 1402، تاریخ بازنگری: 27 بهمن 1402، تاریخ پذیرش: 15 خرداد 1403 | ||
| چکیده | ||
| In this paper, we discuss some near-fixed point theorems with control functions for mappings that are specifically generalized weakly contraction in metric and normed interval spaces. We prove the existence and uniqueness of near-fixed points and common near-fixed points for these mappings. Moreover, we provide some examples to demonstrate the validity of our extensions. | ||
| کلیدواژهها | ||
| Alternating distance functions؛ Contractive mappings؛ Metric interval spaces؛ Near fixed points؛ Normed interval spaces؛ Null set | ||
| مراجع | ||
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[1] M. Abbas and T. Nazir, Fixed point of generalized weakly contractive mappings in ordered partial metric spaces, Fixed Point Theory Appl. 2012 (2012), 1–19. [2] T. Abdeljawad, E. Karapinar, and K. Tas, A generalized contraction principle with control functions on partial metric spaces, Comput. Math. Appl. 63 (2012), no. 3, 716–719. [3] I. Altun, F. Sola, and H. Simsek, Generalized contractions on partial metric spaces, Topology Appl. 157 (2010), no. 18, 2778–2785. [4] S.M. Aseev, Quasilinear operators and their application in the theory of multivalued mappings, Trudy Mat. Inst. Steklova. 167 (1985), 25–52. [5] B. Bozkurt and Y. Yilmaz, New inner product quasilinear spaces on interval numbers, Funct. Spaces 2016 (2016). [6] B. Bozkurt and Y. Yilmaz, Some new results on inner product quasilinear spaces, Cogent. Math. 3 (2016), no. 1, 1194801. [7] B.S. Choudhury, P. Konar, B.E. Rhoades, and N. Metiya, Fixed point theorems for generalized weakly contractive mappings, Nonlinear Anal. 74 (2011), no. 6, 2116–2126. [8] B.S. Choudhury and N. Metiya, Fixed point and common fixed point results in ordered cone metric spaces, An. Stiint. Univ. ”Ovidius” Constanta Ser. Mat. 20 (2012), no. 1, 55–72. [9] H. Levent and Y. Yilmaz, Analysis of signals with inexact data by using interval-valued functions, J. Anal. 30 (2022), no. 4, 1635–1651. [10] H. Levent and Y. Yilmaz, Translation, modulation and dilation systems in set-valued signal processing, Carpath. Math. Publ. 10 (2018), no. 1, 143–164. [11] H.K. Nashine and H. Aydi, Common fixed point theorems for four mappings through generalized altering distances in ordered metric spaces, Ann. Univ. Ferrara Sez. VII Sci. Mat. 58 (2012), no. 2, 341–358. [12] M. Sarwar, Z. Islam, H. Ahmad, H. Isik, and S. Noeiaghdam, Near-common fixed point result in cone interval b-metric spaces over Banach algebras, Axioms 10 (2021), no. 4, 251. [13] H.C. Wu, A new concept of fixed point in metric and normed interval spaces, Mathematics 6 (2018), no. 11, 219. [14] H.C. Wu, Normed interval Sspace and its topological structure, Mathematics 7 (2019), no. 10, 983. [15] Y. Yilmaz, B. Bozkurt, and S. Cakan, On orthonormal sets in inner product quasilinear spaces, Creat. Math. Inf. 25 (2016), no. 2, 237–247. | ||
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