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

页码：1787 / 1799

页数：13

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