Fixed point theorems for extended interpolative Kanann-Ćirić-Reich-Rus non-self type mapping in hyperbolic complex-valued metric space

被引：2

作者：

Wangwe, Lucas ^{[1
]}

Rathour, Laxmi ^{[2
]}

Mishra, Lakshmi Narayan ^{[3
]}

Mishra, Vishnu Narayan ^{[4
]}

机构：

[1] Mbeya Univ Sci & Technol, Coll Sci & Tech Educ, Dept Math, Mbeya, Tanzania

[2] Natl Inst Technol, Dept Math, Aizawl 796012, Mizoram, India

[3] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[4] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2024年 / 17卷 / 02期

关键词：

fixed point; extended interpolative type mapping; hyperbolic space; complex-valued metric space; Hadamard; BANACH;

D O I：

10.32513/asetmj/1932200824017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to demonstrate the fixed point theorem for extended interpolative non-self- type contraction mapping in hyperbolic complex-valued metric spaces. We provide an example for verification of the results. Further, as an application, we prove the existence and uniqueness of solutions for a class of Hadamard partial fractional integral equations by applying some fixed point theorems.

引用

页码：1 / 21

页数：21

共 13 条

[1] Three point analogue of Ćirić-Reich-Rus type mappings with non-unique fixed points
Bisht, Ravindra K.
Petrov, Evgeniy
JOURNAL OF ANALYSIS, 2024, 32 (5): : 2609 - 2627
[2] Fixed Point of Interpolative Rus-Reich-Ciric Contraction Mapping on Rectangular Quasi-Partial b-Metric Space
Gautam, Pragati
Sanchez Ruiz, Luis Manuel
Verma, Swapnil
SYMMETRY-BASEL, 2021, 13 (01): : 1 - 8
[3] BEST PROXIMITY POINT THEOREMS FOR NON-SELF PROXIMAL REICH TYPE CONTRACTIONS IN COMPLETE METRIC SPACES
Ampadu, Clement Boateng
FIXED POINT THEORY, 2018, 19 (02): : 449 - 452
[4] COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF SELF-MAPPINGS IN COMPLEX-VALUED METRIC SPACES
Rouzkard, F.
EURASIAN MATHEMATICAL JOURNAL, 2019, 10 (02): : 75 - 83
[5] Common Fixed Point Theorem for Non-Self Mappings Satisfying Generalized Ćirić Type Contraction Condition in Cone Metric Space
R Sumitra
V Rhymend Uthariaraj
R Hemavathy
P Vijayaraju
Fixed Point Theory and Applications, 2010
[6] Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type
Ciric, Ljubomir
Rakocevic, Vladimir
Radenovic, Stojan
Rajovic, Miloje
Lazovic, Rade
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (11) : 2966 - 2974
[7] Fixed point results for two pairs of non-self hybrid mappings in metric spaces of hyperbolic type
Eke, Kanayo Stella
Akewe, Hudson
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2018, 5 (09): : 1 - 5
[8] Complex-valued double controlled metric like spaces with applications to fixed point theorems and Fredholm type integral equations
Aslam, Muhammad Suhail
Chowdhury, Mohammad Showkat Rahim
Guran, Liliana
Manzoor, Isra
Abdeljawad, Thabet
Santina, Dania
Mlaiki, Nabil
AIMS MATHEMATICS, 2023, 8 (02): : 4944 - 4963
[9] Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces
Klin-eam, Chakkrid
Suanoom, Cholatis
ABSTRACT AND APPLIED ANALYSIS, 2013,
[10] Fixed point theorems for complex non-self mappings satisfying an implicit relation in Kaleva-Seikkala’s type fuzzy metric spaces
Ming-Liang Song
Zhong-qian Wang
Fixed Point Theory and Applications, 2013

← 1 2 →