FIXED POINT RESULTS FOR MULTI-VALUED GRAPH CONTRACTIONS ON A SET ENDOWED WITH TWO METRICS-Reference-Cited by-同舟云学术

FIXED POINT RESULTS FOR MULTI-VALUED GRAPH CONTRACTIONS ON A SET ENDOWED WITH TWO METRICS

Published:2023 Issue:1-2 Volume:15 Page:147-153
ISSN:2066-5997
Container-title:Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
language:
Short-container-title:AnnalsARSciMath

Author:

Petrușel A., ,Petrușel G.,

Abstract

In this paper we will study existence, uniqueness and data dependence of the fixed points of multi-valued operators on a set endowed with two metrics. The case of multi-valued graph contractions is considered. Then, an extension to a more general contraction type condition is also given.

Publisher

Academia Oamenilor de Stiinta din Romania

Subject

General Mathematics

Reference18 articles.

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4. [4] W. A. Kirk, B. Sims (eds.), Handbook of Metric Fixed Point Theory, Kluwer Acad. Publ., Dordrecht, 2001.

5. [5] T.-C. Lim, On fixed point stability for set-valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110(1985), 436-441.

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