STUDY ABOUT CYCLIC MAP ON PARTIAL b – METRIC SPACES AND FIXED-POINT THEOREM
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Abstract
In this paper, we study the existence and uniqueness of fixed point of cyclic map α-admissible on partial b – metric space
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References
[1] Bakhtin, I. A. (1989). The contraction principle in
quasi-metric spaces. International Functional
Analysis. 30:26-37.
[2] Czerwik, S. (1998). Nonlinear set-valued
contraction mappings in b-metric spaces. Atti Sem.
Mat. Fis. Univ. Modena. 46: 263 - 276.
[3] Czerwik, S. (1993). Contraction mappings in bmetric
spaces. Acta Math. Inform. Univ. Osrav, 1: 5-
11.
[4] Matthews, S. G. (1994). Partal metric topology
Proc. 8th Summer Conference on General Topology
and Applications. Ann. N.Y. Acad. Sci., 728:183-
197.
[5] Shukla, S. (2013). Partial b-metric spaces and
fixed point theorems. Mediterranean Journal of
Mathematics, doi:101007/s00009-013-0327-4.
[6] Aydi, H.; Bota, M. Karapinar, E. and Mitrovic S.
(2012). A fixed point theorem for set valued quasicontractions
in b-metric spaces. Fixed Point Theory
and its Applications.
[7] Mustafa, Z.; Roshan, J.R. Parvaneh, V. and
Kadelburg, Z. (2013). Some common fixed point
result in ordered partial b-metric spaces. Journal of
Inequalities and Applications.
[8] Jha, K.; Pant R.P. and Singh, S.L. (2005). On the
existence of common fixed points for compatible
mappings. Punjab Univ. J. Math., 37.
[9] Karapinar, E. and Agarwal, R.P. (2013). A note
on Coupled fixed point theorems for α - ψ -
contractive-type mapping in partially ordered metric
spaces. Fixed Point Theory and Applications.