Fixed point in bicomplex valued metric spaces

In the present paper, we introduce new types of convergence of a sequence in left dislocated and right dislocated metric spaces. Also, we generalize Banach contraction principle in these newly defined generalized metric spaces.

[1]  Mohammad Imdad,et al.  Some common fixed point theorems on complex valued metric spaces , 2012, Comput. Math. Appl..

[2]  Price,et al.  An Introduction to Multicomplex SPates and Functions , 1990 .

[3]  M. Gordji,et al.  Fixed point theorems in R-metric spaces with applications , 2020 .

[4]  S. Banach Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales , 1922 .

[5]  Nicolò Spampinato Sulla rappresentazione delle funzioni di variabile bicomplessa totalmente derivabili , 1935 .

[6]  D. Struppa,et al.  Bicomplex Numbers and their Elementary Functions , 2012 .

[7]  G. Fitzgerald,et al.  'I. , 2019, Australian journal of primary health.

[8]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[9]  Junesang Choi,et al.  SOME FIXED POINT THEOREMS IN CONNECTION WITH TWO WEAKLY COMPATIBLE MAPPINGS IN BICOMPLEX VALUED METRIC SPACES , 2017 .

[10]  Corrado Segre,et al.  Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici , 1892 .

[11]  Ismat Beg,et al.  Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces , 2009 .

[12]  D. Struppa,et al.  Singularities of functions of one and several bicomplex variables , 2011 .

[13]  Muhammad Arshad,et al.  Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces , 2009, Int. J. Math. Math. Sci..

[14]  Manoj Kumar,et al.  Common Fixed Point Theorems in Complex Valued Metric Spaces , 2013 .

[15]  S. Khalehoghli,et al.  R-topological spaces and SR-topological spaces with their applications , 2020, Mathematical Sciences.

[16]  I. Jebril,et al.  Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces , 2019, Journal of Interdisciplinary Mathematics.

[17]  P. Alam ‘A’ , 2021, Composites Engineering: An A–Z Guide.

[18]  P. Alam ‘T’ , 2021, Composites Engineering: An A–Z Guide.

[19]  P. Alam ‘N’ , 2021, Composites Engineering: An A–Z Guide.

[20]  A. Ran,et al.  A fixed point theorem in partially ordered sets and some applications to matrix equations , 2003 .