Some new fixed point results via the concept of measure of noncompactness

Asadollah Aghajani; Alireza Mosleh Tehrani; Donald O’Regan

doi:10.2298/FIL1506209A

Some new fixed point results via the concept of measure of noncompactness

Asadollah Aghajani
, Alireza Mosleh Tehrani
, Donald O’Regan

Mathematics

Iran University of Science and Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we present a generalization of Darbo’s fixed point theorem and using this generalization we prove an α-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskiĭ fixed point theorem in uniformly convex Banach spaces.

Original language	English
Pages (from-to)	1209-1216
Number of pages	8
Journal	Filomat
Volume	29
Issue number	6
DOIs	https://doi.org/10.2298/FIL1506209A
Publication status	Published - 1 Sept 2015

Keywords

Darbo fixed point theorem
Measure of noncompactness
Nonexpansive mapping
Uniformly convex space
α-fixed point

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Aghajani, A,Tehrani, AM,O'Regan, D

Access to Document

10.2298/FIL1506209A

Cite this

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title = "Some new fixed point results via the concept of measure of noncompactness",

abstract = "In this paper we present a generalization of Darbo{\textquoteright}s fixed point theorem and using this generalization we prove an α-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskiĭ fixed point theorem in uniformly convex Banach spaces.",

keywords = "Darbo fixed point theorem, Measure of noncompactness, Nonexpansive mapping, Uniformly convex space, α-fixed point",

author = "Asadollah Aghajani and Tehrani, \{Alireza Mosleh\} and Donald O{\textquoteright}Regan",

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AU - Aghajani, Asadollah

AU - Tehrani, Alireza Mosleh

AU - O’Regan, Donald

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Y1 - 2015/9/1

N2 - In this paper we present a generalization of Darbo’s fixed point theorem and using this generalization we prove an α-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskiĭ fixed point theorem in uniformly convex Banach spaces.

AB - In this paper we present a generalization of Darbo’s fixed point theorem and using this generalization we prove an α-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskiĭ fixed point theorem in uniformly convex Banach spaces.

KW - Darbo fixed point theorem

KW - Measure of noncompactness

KW - Nonexpansive mapping

KW - Uniformly convex space

KW - α-fixed point

UR - https://www.scopus.com/pages/publications/84930400359

U2 - 10.2298/FIL1506209A

DO - 10.2298/FIL1506209A

M3 - Article

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VL - 29

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ER -

Some new fixed point results via the concept of measure of noncompactness

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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