Common fixed point theorems under a new continuity condition

R. P. Pant; R. K. Bisht

doi:10.1007/s11565-011-0141-5

Common fixed point theorems under a new continuity condition

R. P. Pant, R. K. Bisht

Kumaun University India

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

19 Citations (Scopus)

Abstract

The aim of the present paper is to generalize the notion of reciprocal continuity and obtain common fixed point theorems in diverse settings as an application of the new notion. The new notion unifies the approaches of three well known notions- reciprocal continuity, subsequential continuity and conditional commutativity. Our results generalize and extend several fixed point theorems. We also demonstrate that the new notion is a necessary condition for the existence of common fixed points.

Original language	English
Pages (from-to)	127-141
Number of pages	15
Journal	Annali dell'Universita di Ferrara
Volume	58
Issue number	1
DOIs	https://doi.org/10.1007/s11565-011-0141-5
Publication status	Published - May 2012
Externally published	Yes

Keywords

(ε, δ) contractive condition
Compatible maps
Conditionally commuting mappings
Fixed point theorems
Noncompatible maps
Nonexpansive mapping
Reciprocal continuity
Subsequential continuity
Weak reciprocal continuity

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-011-0141-5

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KW - (ε, δ) contractive condition

KW - Compatible maps

KW - Conditionally commuting mappings

KW - Fixed point theorems

KW - Noncompatible maps

KW - Nonexpansive mapping

KW - Reciprocal continuity

KW - Subsequential continuity

KW - Weak reciprocal continuity

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Common fixed point theorems under a new continuity condition

Abstract

Keywords

ASJC Scopus subject areas

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