Contractive definitions and discontinuity at fixed point

Ravindra K. Bisht; R. P. Pant

doi:10.4995/agt.2017.6713

Contractive definitions and discontinuity at fixed point

Ravindra K. Bisht, R. P. Pant

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

23 Citations (Scopus)

Abstract

In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

Original language	English
Pages (from-to)	173-182
Number of pages	10
Journal	Applied General Topology
Volume	18
Issue number	1
DOIs	https://doi.org/10.4995/agt.2017.6713
Publication status	Published - 2017
Externally published	Yes

Keywords

(ɛ−δ) contractions
Fixed point
Orbital continuity
Power contraction

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2017.6713

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title = "Contractive definitions and discontinuity at fixed point",

abstract = "In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.",

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KW - (ɛ−δ) contractions

KW - Fixed point

KW - Orbital continuity

KW - Power contraction

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Contractive definitions and discontinuity at fixed point

Abstract

Keywords

ASJC Scopus subject areas

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