Some fixed point theorems for multi-valued mappings in graphical metric spaces-Reference-Cited by-同舟云学术

Some fixed point theorems for multi-valued mappings in graphical metric spaces

Published:2020-05-23 Issue:3 Volume:70 Page:719-732
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Shukla Satish¹,Künzi Hans-Peter A.²

Affiliation:

1. Department of Applied Mathematics , Shri Vaishnav Institute of Technology & Science , Gram Baroli, Sanwer Road , Indore , (M.P.) 453331 , India

2. Department of Mathematics and Applied Mathematics , University of Cape Town , Rondebosch , 7701 , South Africa

Abstract

Abstract In this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler’s fixed point theorem.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0385/pdf

Reference12 articles.

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4. Fréchet, M.: Sur quelques points du calcul fonctionnel, Rend. Circ. Mat. Palermo 22 (1906), 1–74.

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