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

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

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.

Cuvinte cheie

symmetric spaces generalized Greguš type integral type strict fixed point