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A STRICT FIXED POINTS FOR MULTIFUNCTIONS SATISFYING A GENERAL-IZED IMPLICIT GREGUŠ TYPE CONDITION IN SYMMETRIC SPACES AND APPLICATIONS


VALERIU POPA 1 AND ALINA-MIHAELA PATRICIU 2
1. Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA,
e-mail: vpopa@ub.ro
2. Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment, “Dunărea de Jos” University of Galaţi 111 Domnească Street, Galaţi, 800201, ROMANIA
e-mail: Alina.Patriciu@ugal.ro

Issue:

SSRSMI, Number 2, Volume XXVI

Section:

Volume 26, Number 2

Abstract:

In this paper a general fixed point theorem of generalized Greguš type in symmetric spac-es for hybrid pair satisfying a new type of implicit relation using generalized altering dis-tance and we obtain simultaneous results for contractive and extensive mappings. As ap-plication, new results for hybrid pairs satisfying contractive and expansive conditions of integral type are obtained.

Keywords:

symmetric spaces, generalized Greguš type, integral type, strict fixed point.

Code [ID]:

SSRSMI201602V26S01A0002 [0004495]

Full paper:

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