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

17 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

Access to Document

10.1016/j.na.2009.01.212

Cite this

@article{3e826dd5d4c34c23bbce3caad62bbd47,

title = "New fixed point theorems for asymptotically regular multi-valued maps",

abstract = "Recently, extending {\'C}iri{\'c}'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.",

keywords = "Asymptotically regular maps, Fixed point, Multi-valued map, Quasi-contraction",

author = "Singh, \{S. L.\} and Mishra, \{S. N.\} and Rajendra Pant",

year = "2009",

month = oct,

day = "1",

doi = "10.1016/j.na.2009.01.212",

language = "English",

volume = "71",

pages = "3299--3304",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd.",

number = "7-8",

}

TY - JOUR

T1 - New fixed point theorems for asymptotically regular multi-valued maps

AU - Singh, S. L.

AU - Mishra, S. N.

AU - Pant, Rajendra

PY - 2009/10/1

Y1 - 2009/10/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/67349195312

U2 - 10.1016/j.na.2009.01.212

DO - 10.1016/j.na.2009.01.212

M3 - Article

AN - SCOPUS:67349195312

SN - 0362-546X

VL - 71

SP - 3299

EP - 3304

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

New fixed point theorems for asymptotically regular multi-valued maps

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this