A FIXED POINT THEOREM FOR HYBRID PAIRS SATISFYING A NEW TYPE OF LIMIT RANGE PROPERTY IN SYMMETRIC SPACES AND APPLICATIONS

  • VALERIU POPA
    "Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, ROMANIA
    vpopa@ub.ro

Abstract

A general fixed point theorem for two pairs of hybrid mappings satisfying a new type of limit range property in symmetric spaces is proved, generalizing Theorem 2 and Theorem 3 [7]. As application, we obtain new results for hybrid mappings satisfying contractive conditions of integral type and for mappings satisfying φ- contractive condi-tions.

Cuvinte cheie

symmetric spaces fixed point common limit range property hybrid pairs implicit rela-tion