Orthogonal sets; orthogonal contractions-Reference-Cited by-同舟云学术

Orthogonal sets; orthogonal contractions

Published:2019-05-27 Issue:03 Volume:12 Page:1950034
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Gordji Madjid Eshaghi¹,Habibi Hasti²,Sahabi Mohammad Bagher³

Affiliation:

1. Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

2. Department of Mathematics, Semnan University, Semnan, Iran

3. Payame Noor University of Urmia, Urmia, Islamic Republic of Iran

Abstract

In this paper, we are interested in obtaining fixed point theorems by keeping the orthogonal completeness of the orthogonal metric space and replacing the [Formula: see text]-contraction condition in theorems by another slightly modified conditions. The paper contains an example illustrating our results.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557119500347

Reference9 articles.

1. FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES

2. Orthogonal sets: The axiom of choice and proof of a fixed point theorem

3. Fixed point theorems for a system of transformations in generalized metric spaces

4. On orthogonal sets and Banach fixed point theorem

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