Fixed Point Sets of Multivalued Contractions and Stability Analysis

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Communications in Advanced Mathematical Sciences
Volume:1 Issue:2
Fixed Point Sets of Multivalued Contractions and Stability Analysis

Fixed Point Sets of Multivalued Contractions and Stability Analysis

Authors : Nikhilesh METİYA, Binayak S CHOUDHURY, Sunirmal KUNDU

Pages : 163-171

Doi:10.33434/cams.454820

View : 11 | Download : 12

Publication Date : 2018-12-24

Article Type : Research Paper

Abstract :In this paper we derive a fixed point result for a multivalued generalized almost contraction which contains several rational terms through a six variables function and a four variables function. The space is assumed to satisfy some regularity conditions. In another part of the paper we establish stability results for fixed point sets of these contractions. The corresponding singlevalued case is also discussed. The results are obtained without any assumption of continuity. There are two illustrative examples.
Keywords : Hausdorff metric, Generalized almost contraction, Fixed point, Stability

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