Fixed points under a new commuting condition

Abhijit Pant; R. P. Pant; M. C. Joshi

Fixed points under a new commuting condition

Abhijit Pant, R. P. Pant, M. C. Joshi

Kumaun University India

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

The aim of the present paper is to employ new commuting conditions to obtain some fixed point theorems as applications of the new notions. The new notions are proper generalisation of the existing notions of similar type. As compared to the notion of pointwise R-weak commuting and the equivalent notion of weak compatibility, which imply commutativity at coincidence points but are of little help in establishing the existence of coincidence points, the new notions not only imply commutativity at coincidence points but are also useful in establishing the existence of coincidence points.

Original language	English
Title of host publication	Recent Advances in Fixed Point Theory and Applications
Publisher	Nova Science Publishers, Inc.
Pages	125-134
Number of pages	10
ISBN (Electronic)	9781536121049
ISBN (Print)	9781536120851
Publication status	Published - 1 Jan 2017
Externally published	Yes

Keywords

Compatible mappings
Noncompatiblemappings
α-compatible mappings

ASJC Scopus subject areas

General Mathematics

Cite this

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AB - The aim of the present paper is to employ new commuting conditions to obtain some fixed point theorems as applications of the new notions. The new notions are proper generalisation of the existing notions of similar type. As compared to the notion of pointwise R-weak commuting and the equivalent notion of weak compatibility, which imply commutativity at coincidence points but are of little help in establishing the existence of coincidence points, the new notions not only imply commutativity at coincidence points but are also useful in establishing the existence of coincidence points.

KW - Compatible mappings

KW - Noncompatiblemappings

KW - α-compatible mappings

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M3 - Chapter

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BT - Recent Advances in Fixed Point Theory and Applications

PB - Nova Science Publishers, Inc.

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Fixed points under a new commuting condition

Abstract

Keywords

ASJC Scopus subject areas

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