GENERAL FIXED POINT THEOREMS OF GENERALIZED GREGU_S TYPE IN SYMMETRIC SPACES AND APPLICATIONS

In this paper a general fixed point theorem of Greguˇs type insymmetric space is proved, which generalize Theorems 1 and 3 [19], Theorem1.2 [23], Theorems 3.1 and 4.1 [28] and we obtain new similar results forstrict expansive mappings. In the last part of this paper, as applications, weobtain new results for mappings satisfying contractive (expansive) conditionof integral type

Keywords:

Fixed point, occasionally weakly compatible, Greguˇs type theorem implicit relation, condition of integral type,

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“Vasile Alecsandri” University of Bac˘au, ROMANIA
E-mail address: vpopa@ub.ro, alina.patriciu@ub.ro