NOVEL FIXED POINT THEOREMS IN PARTIALLY ORDERED MODULAR METRIC SPACES WITH SOME APPLICATIONS

被引：0
|
作者：
Gundogdu, Hami [1 ]
Ozturk, Mahpeyker [1 ]
Gozukizil, Omer F. [1 ]
机构：
[1] Sakarya Univ, Fac Sci, Dept Math, TR-54187 Sakarya, Turkiye
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2024年 / 77卷 / 08期
关键词：
fixed point theorem; modular metric space; C-condition; CONTRACTIONS;
D O I：
10.7546/CRABS.2024.08.01
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper introduces new types of the generalized C-condition for mappings in partially ordered modular metric spaces. For such conditions, the fixed point theorems are stated and proved. Some examples with graphical representation are given to support our findings. An integral equation is considered in the given modular metric space. The existence and also uniqueness of a solution for this equation are proved. These outcomes extend the fixed point results for the generalized C-condition to partially ordered modular metric spaces.
引用
收藏
页码：1115 / 1127
页数：13
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