Fixed points of discontinuous mappings in uniformly convex metric spaces

Sami Atif Shukri; Vasile Berinde; Abdul Rahim Khan

doi:10.24193/fpt-ro.2018.1.31

Fixed points of discontinuous mappings in uniformly convex metric spaces

Sami Atif Shukri, Vasile Berinde, Abdul Rahim Khan

Department of Mathematics

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

6 Scopus citations

Abstract

Some fixed point theorems for discontinuous mappings in Banach spaces by Berinde and Păcurar [Fixed point theorems for non-self single-valued almost contractions, Fixed Point Theory 14 (2013), 301-311] and Kirk [Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346] are extended to uniformly convex metric spaces.

Original language	English
Pages (from-to)	397-406
Number of pages	10
Journal	Fixed Point Theory
Volume	19
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2018.1.31
State	Published - Feb 2018

Bibliographical note

Publisher Copyright:
© 2018, House of the Book of Science. All rights reserved.

Keywords

Asymptotically nonexpansive mapping
Fixed points
Hyperbolic metric space
Non-Lipschitzian mapping
Non-self almost contractions
Uniformly convex metric space

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.24193/fpt-ro.2018.1.31

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KW - Asymptotically nonexpansive mapping

KW - Fixed points

KW - Hyperbolic metric space

KW - Non-Lipschitzian mapping

KW - Non-self almost contractions

KW - Uniformly convex metric space

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Fixed points of discontinuous mappings in uniformly convex metric spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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