Fixed point theorems in E-b-metric spaces
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Authors
Ioan-Radu Petre
- Department of Applied Mathematics, Babes-Bolyai University, Kogalniceanu No. 1, 400084, Cluj-Napoca, România.
Abstract
In this paper we introduce the notion of E-b-metric space and we present a singlevalued and multivalued
nonlinear fixed point theorem in an E-b-metric space using the Picard and weak Picard operators technique.
The proofs are based on the concept of strict positivity in a Riesz space introduced by Páles and Petre.
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ISRP Style
Ioan-Radu Petre, Fixed point theorems in E-b-metric spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 4, 264--271
AMA Style
Petre Ioan-Radu, Fixed point theorems in E-b-metric spaces. J. Nonlinear Sci. Appl. (2014); 7(4):264--271
Chicago/Turabian Style
Petre, Ioan-Radu. "Fixed point theorems in E-b-metric spaces." Journal of Nonlinear Sciences and Applications, 7, no. 4 (2014): 264--271
Keywords
- Contraction Principle
- fixed point
- iterative method
- multivalued operator
- \(\varphi\)-contraction
- Riesz space
- vector lattice
- vector b-metric space.
MSC
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