Unified Feng-Liu type fixed point theorems solving control problems

Hemant Kumar Nashine; Rabha W. Ibrahim; B. E. Rhoades; Rajendra Pant

doi:10.1007/s13398-020-00937-w

Unified Feng-Liu type fixed point theorems solving control problems

Hemant Kumar Nashine, Rabha W. Ibrahim, B. E. Rhoades, Rajendra Pant

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

8 Citations (Scopus)

Abstract

The propose of this work is to study unified Feng-Liu type fixed point theorems using (α, η) -muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.

Original language	English
Article number	5
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	115
Issue number	1
DOIs	https://doi.org/10.1007/s13398-020-00937-w
Publication status	Published - 1 Jan 2021
Externally published	Yes

Keywords

Fixed point
Fractional integral inclusion
Muti-valued mapping

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s13398-020-00937-w

Cite this

@article{ea3d1d8726cd44d9b4dfa8ff4ca8731b,

title = "Unified Feng-Liu type fixed point theorems solving control problems",

abstract = "The propose of this work is to study unified Feng-Liu type fixed point theorems using (α, η) -muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.",

keywords = "Fixed point, Fractional integral inclusion, Muti-valued mapping",

author = "Nashine, {Hemant Kumar} and Ibrahim, {Rabha W.} and Rhoades, {B. E.} and Rajendra Pant",

note = "Publisher Copyright: {\textcopyright} 2020, The Royal Academy of Sciences, Madrid.",

year = "2021",

month = jan,

day = "1",

doi = "10.1007/s13398-020-00937-w",

language = "English",

volume = "115",

journal = "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas",

issn = "1578-7303",

publisher = "Springer-Verlag Italia s.r.l.",

number = "1",

}

TY - JOUR

T1 - Unified Feng-Liu type fixed point theorems solving control problems

AU - Nashine, Hemant Kumar

AU - Ibrahim, Rabha W.

AU - Rhoades, B. E.

AU - Pant, Rajendra

PY - 2021/1/1

Y1 - 2021/1/1

N2 - The propose of this work is to study unified Feng-Liu type fixed point theorems using (α, η) -muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.

AB - The propose of this work is to study unified Feng-Liu type fixed point theorems using (α, η) -muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.

KW - Fixed point

KW - Fractional integral inclusion

KW - Muti-valued mapping

UR - http://www.scopus.com/inward/record.url?scp=85092560823&partnerID=8YFLogxK

U2 - 10.1007/s13398-020-00937-w

DO - 10.1007/s13398-020-00937-w

M3 - Article

AN - SCOPUS:85092560823

SN - 1578-7303

VL - 115

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

JF - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

IS - 1

M1 - 5

ER -

Unified Feng-Liu type fixed point theorems solving control problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this