Solution to the Rhoades' problem under minimal metric structure

被引：1
|
作者：
Savaliya, Jayesh [1 ]
Gopal, Dhananjay [2 ]
Moreno, Juan Martinez [3 ]
Srivastava, Shailesh Kumar [1 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol, Dept Math, Surat 395007, India
[2] Guru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, India
[3] Univ Jaen, Dept Math, Jaen 23071, Spain
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期
关键词：
Discontinuity; Minimal metric; Non-triangular metric; Fixed point; MEIR-KEELER TYPE; FIXED-POINTS; DISCONTINUITY; CONTRACTIONS; DEFINITIONS;
D O I：
10.1007/s41478-024-00722-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An open problem proposed by Rhoades (Contemp Math 72:233-245, 1988) is the following, "Is there a contractive condition that guarantees a fixed point's existence but does not require the mapping to be continuous at that point?" In this paper, we generalize a result of Bisht (J Fixed Point Theory Appl 25:11, 2023), which allows us to find a new solution to this open problem. Furthermore, we have validated the result generated in the article by producing several examples.
引用
收藏
页码：1787 / 1799
页数：13
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