ON NEW COINCIDENCE POINT THEOREMS WITH APPLICATIONS TO SIMULTANEOUS GENERALIZATIONS IN FIXED POINT THEORY

Chu Chin Hu; Yousuke Araya; Marko Kostić; Wei Shih Du

ON NEW COINCIDENCE POINT THEOREMS WITH APPLICATIONS TO SIMULTANEOUS GENERALIZATIONS IN FIXED POINT THEORY

Chu Chin Hu
, Yousuke Araya
, Marko Kostić^*
, Wei Shih Du

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The primary goal of this work is to establish some new coincidence point theorems for multivalued mapping with MT-functions. As applications, we obtain many simultaneous generalizations of well-known fixed point theorems in the literature.

Original language	English
Pages (from-to)	3027-3040
Number of pages	14
Journal	Journal of Nonlinear and Convex Analysis
Volume	26
Issue number	11
Publication status	Published - 2025

Keywords

Banach contraction principle
Berinde-Berinde's fixed point theorem
Chatterjea's fixed point theorem
Kannan's fixed point theorem
MT-function
Mizoguchi-Takahashi's fixed point theorem
Nadler's fixed point theorem
simultaneous generalization

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "ON NEW COINCIDENCE POINT THEOREMS WITH APPLICATIONS TO SIMULTANEOUS GENERALIZATIONS IN FIXED POINT THEORY",

abstract = "The primary goal of this work is to establish some new coincidence point theorems for multivalued mapping with MT-functions. As applications, we obtain many simultaneous generalizations of well-known fixed point theorems in the literature.",

keywords = "Banach contraction principle, Berinde-Berinde's fixed point theorem, Chatterjea's fixed point theorem, Kannan's fixed point theorem, MT-function, Mizoguchi-Takahashi's fixed point theorem, Nadler's fixed point theorem, simultaneous generalization",

author = "Hu, \{Chu Chin\} and Yousuke Araya and Marko Kosti{\'c} and Du, \{Wei Shih\}",

year = "2025",

language = "English",

volume = "26",

pages = "3027--3040",

journal = "Journal of Nonlinear and Convex Analysis",

issn = "1345-4773",

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T1 - ON NEW COINCIDENCE POINT THEOREMS WITH APPLICATIONS TO SIMULTANEOUS GENERALIZATIONS IN FIXED POINT THEORY

AU - Hu, Chu Chin

AU - Araya, Yousuke

AU - Kostić, Marko

AU - Du, Wei Shih

PY - 2025

Y1 - 2025

N2 - The primary goal of this work is to establish some new coincidence point theorems for multivalued mapping with MT-functions. As applications, we obtain many simultaneous generalizations of well-known fixed point theorems in the literature.

AB - The primary goal of this work is to establish some new coincidence point theorems for multivalued mapping with MT-functions. As applications, we obtain many simultaneous generalizations of well-known fixed point theorems in the literature.

KW - Banach contraction principle

KW - Berinde-Berinde's fixed point theorem

KW - Chatterjea's fixed point theorem

KW - Kannan's fixed point theorem

KW - MT-function

KW - Mizoguchi-Takahashi's fixed point theorem

KW - Nadler's fixed point theorem

KW - simultaneous generalization

UR - https://www.scopus.com/pages/publications/105026623979

UR - https://www.scopus.com/pages/publications/105026623979#tab=citedBy

M3 - Article

AN - SCOPUS:105026623979

SN - 1345-4773

VL - 26

SP - 3027

EP - 3040

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 11

ER -

ON NEW COINCIDENCE POINT THEOREMS WITH APPLICATIONS TO SIMULTANEOUS GENERALIZATIONS IN FIXED POINT THEORY

Abstract

Keywords

ASJC Scopus subject areas

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