Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications

Ali Raza; Mujahid Abbas; Hasanen A. Hammad; Manuel De la Sen

doi:10.3390/sym15030686

Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications

Ali Raza
, Mujahid Abbas
, Hasanen A. Hammad
, Manuel De la Sen

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

1 Citation (Scopus)

Abstract

The purpose of this paper is to present some fixed point approaches for multi-valued Prešić k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical results in the literature. Moreover, two examples are provided to support the main result. Ultimately, as potential applications, some contributions of integral type are investigated and the existence of a solution to the second-order boundary value problem (BVP) is presented.

Original language	English
Article number	686
Journal	Symmetry
Volume	15
Issue number	3
DOIs	https://doi.org/10.3390/sym15030686
Publication status	Published - Mar 2023
Externally published	Yes

Keywords

Prešić-type contraction
boundary value problem
existence solution
Φ-contraction

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

Access to Document

10.3390/sym15030686

Cite this

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title = "Fixed Point Approaches for Multi-Valued Pre{\v s}i{\'c} Multi-Step Iterative Mappings with Applications",

abstract = "The purpose of this paper is to present some fixed point approaches for multi-valued Pre{\v s}i{\'c} k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical results in the literature. Moreover, two examples are provided to support the main result. Ultimately, as potential applications, some contributions of integral type are investigated and the existence of a solution to the second-order boundary value problem (BVP) is presented.",

keywords = "Pre{\v s}i{\'c}-type contraction, boundary value problem, existence solution, Φ-contraction",

author = "Ali Raza and Mujahid Abbas and Hammad, \{Hasanen A.\} and \{De la Sen\}, Manuel",

note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",

year = "2023",

month = mar,

doi = "10.3390/sym15030686",

language = "English",

volume = "15",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

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AU - Raza, Ali

AU - Abbas, Mujahid

AU - Hammad, Hasanen A.

AU - De la Sen, Manuel

PY - 2023/3

Y1 - 2023/3

N2 - The purpose of this paper is to present some fixed point approaches for multi-valued Prešić k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical results in the literature. Moreover, two examples are provided to support the main result. Ultimately, as potential applications, some contributions of integral type are investigated and the existence of a solution to the second-order boundary value problem (BVP) is presented.

AB - The purpose of this paper is to present some fixed point approaches for multi-valued Prešić k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical results in the literature. Moreover, two examples are provided to support the main result. Ultimately, as potential applications, some contributions of integral type are investigated and the existence of a solution to the second-order boundary value problem (BVP) is presented.

KW - Prešić-type contraction

KW - boundary value problem

KW - existence solution

KW - Φ-contraction

UR - https://www.scopus.com/pages/publications/85151633618

U2 - 10.3390/sym15030686

DO - 10.3390/sym15030686

M3 - Article

AN - SCOPUS:85151633618

SN - 2073-8994

VL - 15

JO - Symmetry

JF - Symmetry

IS - 3

M1 - 686

ER -

Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications

Abstract

Keywords

ASJC Scopus subject areas

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Reports Summarize Mathematics Study Results from Government College University (Fixed Point Approaches for Multi-Valued Presic Multi-Step Iterative Mappings with Applications)

Cite this

Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Press/Media

Reports Summarize Mathematics Study Results from Government College University (Fixed Point Approaches for Multi-Valued Presic Multi-Step Iterative Mappings with Applications)

Cite this