A new type of fixed point theorem via interpolation of operators with application in homotopy theory

Mujahid Abbas; Rizwan Anjum; Shakeela Riasat

doi:10.1007/s40065-022-00402-z

A new type of fixed point theorem via interpolation of operators with application in homotopy theory

Mujahid Abbas, Rizwan Anjum, Shakeela Riasat

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

6 Citations (Scopus)

Abstract

The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.

Original language	English
Pages (from-to)	277-288
Number of pages	12
Journal	Arabian Journal of Mathematics
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/s40065-022-00402-z
Publication status	Published - Aug 2023
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s40065-022-00402-z

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title = "A new type of fixed point theorem via interpolation of operators with application in homotopy theory",

abstract = "The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.",

author = "Mujahid Abbas and Rizwan Anjum and Shakeela Riasat",

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year = "2023",

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T1 - A new type of fixed point theorem via interpolation of operators with application in homotopy theory

AU - Abbas, Mujahid

AU - Anjum, Rizwan

AU - Riasat, Shakeela

PY - 2023/8

Y1 - 2023/8

N2 - The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.

AB - The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.

UR - https://www.scopus.com/pages/publications/85139265532

U2 - 10.1007/s40065-022-00402-z

DO - 10.1007/s40065-022-00402-z

M3 - Article

AN - SCOPUS:85139265532

SN - 2193-5343

VL - 12

SP - 277

EP - 288

JO - Arabian Journal of Mathematics

JF - Arabian Journal of Mathematics

IS - 2

ER -

A new type of fixed point theorem via interpolation of operators with application in homotopy theory

Abstract

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