New fixed point results for E-metric spaces

Nayyar Mehmood; Ahmed Al Rawashdeh; Stojan Radenović

doi:10.1007/s11117-019-00653-9

New fixed point results for E-metric spaces

Nayyar Mehmood
, Ahmed Al Rawashdeh
, Stojan Radenović

Department of Mathematical Sciences

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

23 Citations (Scopus)

Abstract

A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E⁺ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E⁺ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.

Original language	English
Pages (from-to)	1101-1111
Number of pages	11
Journal	Positivity
Volume	23
Issue number	5
DOIs	https://doi.org/10.1007/s11117-019-00653-9
Publication status	Published - Nov 1 2019

Keywords

Fixed points
Non-solid cones
Semi-interior points
e-Convergence

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
General Mathematics

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10.1007/s11117-019-00653-9

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AU - Al Rawashdeh, Ahmed

AU - Radenović, Stojan

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N2 - A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.

AB - A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.

KW - Fixed points

KW - Non-solid cones

KW - Semi-interior points

KW - e-Convergence

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UR - https://www.scopus.com/pages/publications/85061274670#tab=citedBy

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JO - Positivity

JF - Positivity

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ER -

New fixed point results for E-metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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