Geodesic
Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible
Singh, Deepak1 ; Joshi, Vishal2 ; Imdad, Mohammad3 ; Kumam, Poom4
1 Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal, (M.P.) 462002, India
2 Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, (M.P.), India
3 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
4 Department of Mathematics & Theoretical and Computational Science (TaCS) Center, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand;China Medical University, No. 91, Hsueh-Shih Road, Taichung, Taiwan
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 5, p. 2049-2069.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we consider a non-negative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of our results. In process, a host of previously known results in the context of complex as well as real valued metric spaces are generalized and improved.
DOI : 10.22436/jnsa.009.05.11
Classification : 54H25, 47H10
Keywords: Complex valued metric spaces, non-vacuously weakly compatible mappings, implicit relations, coincidence point, point of coincidence, fixed point.

Singh, Deepak 1 ; Joshi, Vishal 2 ; Imdad, Mohammad 3 ; Kumam, Poom 4

1 Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal, (M.P.) 462002, India
2 Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, (M.P.), India
3 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
4 Department of Mathematics & Theoretical and Computational Science (TaCS) Center, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand;China Medical University, No. 91, Hsueh-Shih Road, Taichung, Taiwan 
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Singh, Deepak; Joshi, Vishal; Imdad, Mohammad; Kumam, Poom. Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 5, p. 2049-2069. doi : 10.22436/jnsa.009.05.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.05.11/

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