On a JH-operators pair of type (A) with applications to integral equations

Mujahid Abbas; Wasfi Shatanawi; Sadia Farooq; Zoran D. Mitrović

doi:10.1007/s11784-020-00807-3

On a JH-operators pair of type (A) with applications to integral equations

Mujahid Abbas
, Wasfi Shatanawi
, Sadia Farooq
, Zoran D. Mitrović

Government College University Lahore
University of Pretoria
Prince Sultan University (PSU)
China Medical University Taichung
Hashemite University
University of Management and Technology
University of Banja Luka

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

6 Citations (Scopus)

Abstract

The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution of nonlinear integral equations as an application of our result. In the end, we give any open question.

Original language	English
Article number	72
Journal	Journal of Fixed Point Theory and Applications
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/s11784-020-00807-3
Publication status	Published - 1 Sept 2020
Externally published	Yes

Keywords

Coincidence point
JH-operator pair
JH-operator pair of type (A)
JH-operator pair of type (R)
common fixed point
generalized metric space
metric space
point of coincidence
weakly compatible mapping

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-020-00807-3

Cite this

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title = "On a JH-operators pair of type (A) with applications to integral equations",

abstract = "The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution of nonlinear integral equations as an application of our result. In the end, we give any open question.",

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AU - Abbas, Mujahid

AU - Shatanawi, Wasfi

AU - Farooq, Sadia

AU - Mitrović, Zoran D.

PY - 2020/9/1

Y1 - 2020/9/1

N2 - The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution of nonlinear integral equations as an application of our result. In the end, we give any open question.

AB - The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution of nonlinear integral equations as an application of our result. In the end, we give any open question.

KW - Coincidence point

KW - JH-operator pair

KW - JH-operator pair of type (A)

KW - JH-operator pair of type (R)

KW - common fixed point

KW - generalized metric space

KW - metric space

KW - point of coincidence

KW - weakly compatible mapping

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DO - 10.1007/s11784-020-00807-3

M3 - Article

AN - SCOPUS:85088872233

SN - 1661-7738

VL - 22

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 3

M1 - 72

ER -

On a JH-operators pair of type (A) with applications to integral equations

Abstract

Keywords

ASJC Scopus subject areas

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