• SUFFICIENT CONDITIONS FOR THE EXISTENCE OF FIXED POINTS OF WEAK GENERALIZED GERAGHTY CONTRACTIONS IN COMPLETE METRIC SPACES

K. P. R. SASTRY*, K. K. M. SARMA, CH.SRINIVASA RAO, VEDULA PERRAJU*

Abstract


We introduce the notion of -weak generalized Geraghty contractions via triangular -admissible mappings to prove some sufficient conditions for the existence of fixed points of such maps in complete metric space, where  is an altering distance function and where satisfying . Examples are provided to illustrate our results.


Keywords


Fixed points, Weak contraction, Altering distance function, Geraghty type contraction. triangular - admissible, complete metric space, - weak generalized Geraghty contraction.

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