IN THIS PAPER, WE WILL FIRST INTRODUCE THE APPROXIMATE FIXED POINT PROPERTY FOR A CYCLIC MAP T ON G-METRIC SPACE. ALSO, WE PROVE GENERAL LEMMA WHICH REGARDING APPROXIMATE FIXED POINT OF CYCLIC MAPS ON G-METRIC SPACE. USING THESE RESULTS WE PROVE DIAMETER APPROXIMATE FIXED POINT THEOREMS FOR VARIOUS TYPES OF THE WELL-KNOWN GENERALIZED CONTRACTIONS ON G-METRIC SPACE.

IN THIS PAPER, WE PROVE SOME APPROXIMATE FIXED POINT RESULTS FOR PROXIMINAL VALUED B-CONTRACTIVE MULTI-FUNCTIONS ON METRIC SPACES. WE SHOW THAT OUR RESULTS GENERALIZE SOME OLD FIXED POINT RESULTS IN THE LITERATURE.

IN THIS TALK, BY USING THE MAIN IDEA OF THE WORK OF ALEOMRANINEJAD, REZAPOUR AND SHAHZAD ([3]), WE INTRODUCE THE CONCEPT OF GENERALIZED A-CONTRACTIVE MAPPINGS AND GIVE SOME RESULTS ABOUT APPROXIMATE FIXED POINTS OF THE MAPPINGS ON METRIC SPACES.

WE DEFINE APPROXIMATE MIXED EQUILIBRIUM POINT IN HILBERT SPACES. WE FIND A COMMON ELEMENT OF THE SET OF FIXED POINTS OF FINITELY MANY NON-EXPANSIVE MAPPINGS AND THE SET OF SOLUTIONS OF AN APPROXIMATE MIXED EQUILIBRIUM PROBLEM (AMEP) IN HILBERT SPACES. ALSO WE OBTAIN SOME THEOREMS ABOUT MIXED EQUILIBRIUM PROBLEMS AND FIXED POINTS.

IN THIS PAPER WE GIVE SOME FIXED POINT THEOREMS IN COMPLETE METRIC SPACE FOR A MAP. ALSO WE CONSIDER APPROXIMATE BEST PROXIMITY AND APPROXIMATE-PAIR FIXED POINT FOR TWO MAPS.

LET X BE A COMPLEX BANACH SPACE WITH DIM X³3 AND B (X) THE ALGEBRA OF ALL BOUNDED LINEAR OPERATORS ON X. SUPPOSE F: B (X) ®B (X) IS A SURJECTIVE MAP SATISFYING THE FOLLOWING PROPERTY: (FORMULA) THEN THE FORM OF F IS CHARACTERIZED, WHERE FIX (T) IS THE SET OF ALL FIXED POINTS OF AN OPERATOR T.