COMMON FIXED POINT THEOREMS UNDER RATIONAL CONTRACTIONS USING TWO MAPPINGS AND SIX MAPPINGS AND COUPLED FIXED POINT THEOREM IN BICOMPLEX VALUED b-METRIC SPACE

COMMON FIXED POINT THEOREMS UNDER RATIONAL CONTRACTIONS USING TWO MAPPINGS AND SIX MAPPINGS AND COUPLED FIXED POINT THEOREM IN BICOMPLEX VALUED b-METRIC SPACE

I. H. Jebril, S. K. Datta, R. Sarkar, N. Biswas

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Abstract

During the past decades, enormous works by dierent researchers have been carried out in xed point theory on metric spaces. In this paper, we prove some com- mon xed point theorems in bicomplex valued metric space for two mappings and for six mappings. Also, we have introduced the concept of bicomplex valued b-metric space and coupled xed point theorem in bicomplex valued b-metric space.

Keywords

Coupled xed point, Contractive type mapping, Complete bicomplex valued metric space, Complex valued b-metric space, Compatible mappings.