New fixed point theorems for asymptotically regular multi-valued maps

S. L. Singh; S. N. Mishra; Rajendra Pant

doi:10.1016/j.na.2009.01.212

New fixed point theorems for asymptotically regular multi-valued maps

S. L. Singh, S. N. Mishra, Rajendra Pant

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

16 Citations (Scopus)

Abstract

Recently, extending Ćirić's quasi-contraction to a very general setting, Proinov [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557] obtained a remarkable fixed point theorem. We utilize Proinov's contractive type hypotheses for a self-map of a metric space to obtain very general fixed point theorems for multi-valued maps in metric spaces.

Original language	English
Pages (from-to)	3299-3304
Number of pages	6
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	7-8
DOIs	https://doi.org/10.1016/j.na.2009.01.212
Publication status	Published - 1 Oct 2009
Externally published	Yes

Keywords

Asymptotically regular maps
Fixed point
Multi-valued map
Quasi-contraction

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2009.01.212

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AU - Mishra, S. N.

AU - Pant, Rajendra

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AB - Recently, extending Ćirić's quasi-contraction to a very general setting, Proinov [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557] obtained a remarkable fixed point theorem. We utilize Proinov's contractive type hypotheses for a self-map of a metric space to obtain very general fixed point theorems for multi-valued maps in metric spaces.

KW - Asymptotically regular maps

KW - Fixed point

KW - Multi-valued map

KW - Quasi-contraction

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M3 - Article

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ER -

New fixed point theorems for asymptotically regular multi-valued maps

Abstract

Keywords

ASJC Scopus subject areas

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