New coincidence and common fixed point theorems

S. L. Singh; Apichai Hematulin; Rajendra Pant

doi:10.4995/agt.2009.1792

New coincidence and common fixed point theorems

S. L. Singh, Apichai Hematulin, Rajendra Pant

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

7 Citations (Scopus)

Abstract

In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.

Original language	English
Pages (from-to)	121-130
Number of pages	10
Journal	Applied General Topology
Volume	10
Issue number	1
DOIs	https://doi.org/10.4995/agt.2009.1792
Publication status	Published - 2009
Externally published	Yes

Keywords

Asymptotic regularity
Banach contraction
Coincidence point
Fixed point
Quasicontraction

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2009.1792

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title = "New coincidence and common fixed point theorems",

abstract = "In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.",

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AU - Hematulin, Apichai

AU - Pant, Rajendra

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AB - In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.

KW - Asymptotic regularity

KW - Banach contraction

KW - Coincidence point

KW - Fixed point

KW - Quasicontraction

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DO - 10.4995/agt.2009.1792

M3 - Article

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EP - 130

JO - Applied General Topology

JF - Applied General Topology

IS - 1

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New coincidence and common fixed point theorems

Abstract

Keywords

ASJC Scopus subject areas

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