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On two pairs of non-self hybrid mappings

Part of: Nonlinear operators and their properties Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Ljubomir B. Ćirić ,
Jeong Sheok Ume  and
Nebqjša T. Nikolić
Ljubomir B. Ćirić
Affiliation:
Faculty of Mechanical EngineeringAl. Rudara 12-35 11 070 Belgrade Serbia and Montenegrolciric@afrodita.rcub.bg.ac.yu
Jeong Sheok Ume
Affiliation:
Department of Applied MathematicsChangwon National UniversityChangwon 641-773 Koreajsume@changwon.ac.kr
Nebqjša T. Nikolić
Affiliation:
Faculty of Organizational ScienceJove Ilica 154 11 000 Belgrade Serbiasigma@fon.bg.ac.yu
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Abstract

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Abstrac In this paper we obtain some results on coincidence and common fixed points for two pairs of multi-valued and single-valued non-self mappings in complete convex metric spaces. We improve on previously used methods of proof and obtain results for mappings which are not necessarily compatible and not necessarily continuous, generalizing some known results. In particular, a theorem by Rhoades [19] and a theorem by Ahmed and Rhoades [2] are generalized and improved.

MSC classification

Secondary: 54H25: Fixed-point and coincidence theorems 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 83 , Issue 1 , August 2007 , pp. 17 - 30
Copyright
Copyright © Australian Mathematical Society 2007

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