CONVERGENCE ANALYSIS OF PICARD-S HYBRID ITERATION SCHEME FOR MULTI-VALUED MAP HAVING A FIXED POINT

CONVERGENCE ANALYSIS OF PICARD-S HYBRID ITERATION SCHEME FOR MULTI-VALUED MAP HAVING A FIXED POINT

N. Sharma, A. Saxena

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Abstract

In this paper, we dene Picard-S hybrid iteration for a multi-valued map- ping of T with an invariant point  along with explanation that under certain conditions, this iteration gets converged to an invariant point  belonging to T. However, it is essen- tial, to note that this invariant point  may be dierent from . In this process, several results are generalized.

Keywords

Multi-valued Map, Picard-S hybrid iteration scheme, Fixed point analysis.