Some common fixed point results on ( psi, phi)-contraction

Mahesh  Chandra Arya; N.  Chandra; Mahesh C. Joshi

doi:10.5269/bspm.62885

Mahesh Chandra Arya Sri Dev Suman Uttarakhand University Tehari Garhwal https://orcid.org/0000-0002-5649-1385
N. Chandra H. N. B. Garhwal University
Mahesh C. Joshi Kumaun University

Resumo

The aim of the paper is to obtain common fixed point theorems for ( psi, phi)-contraction under the generalized rational type condition in a complete metric space. Moreover, these theorems generalize recent well known results in the literature.

Downloads

Não há dados estatísticos.

Referências

M. Abbas, D. Doric, Common fixed point theorem for four mappings satisfying generalized weak contractive condition, Filomat, 24(2), 1-10, (2010).

Yl. Alber, S. Guene-Delabriere, Principles of weakly contractive maps in Hilbert spaces, Operator Theory Advances Appl., 98, 7-22, (1997).

M. C. Arya, N. Chandra, Mahesh C. Joshi, Fixed point of (psi, phi)-contractions on metric spaces, The Journal of Analysis, 28, 461-469, (2020).

I. Beg, M. Abbas, Coincidence point and invariant approximation for mapping satisfying generalized weak contractive condition, Fixed Point Theory Appl., 2006, 7 pp, (2006).

D. W. Boyd, J. S. Wong, On nonlinear contractions, Proc. Amer. Math. Soc., 20, 458-464, (1969).

P. Das, A fixed point theorem in a generalized metric spaces, Soochow J. Math., 33, 33-39, (2007).

D. Doric, Common fixed point for generalized (psi, phi)-weak contraction, Appl. Math. Letters, 22, 1896-1900, (2009).

M. Gordji, H. Baghani, G. Kim, Common fixed point theorems for (psi, phi)-weak nonlinear contraction in partially ordered sets, Fixed Point Theory Appl., 62, (2012).

G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly, 83, 261-263, (1976).

G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Math. Sci., 9(4), 771-779, (1986).

G. Jungck, Common fixed points for non-continuous non-self maps on non-metric spaces, Far East J. Math. Sci., 4, 199-215, (1996).

E. Karapinar, Fixed point theory for cyclic weak -contraction, Anal. Appl. Lett., 24, 1-14, (2015).

N. Chandra, B. Joshi, M. C. Arya, M. C. Joshi, Common fixed point theorem for weakly compatible mappings, Jñanabha, 51(2), 274-280, (2022).

P. P. Murthy, K. Tas, U. D. Patel, Common fixed point theorems for generalized ()-weak contraction on contraction in complete metric spaces, Journal of Ineqalities and Applications, 2015:139, (2015).

B. E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Anal., 47, 2683-2693, (2001).

S. L. Singh, R. Kamal, M. De la Sen, R. Chugh, A fixed point theorem for generalized weak contractions, Filomat, 29(7), 1481-1490, (2015).

P. N. Dutta, B. S. Choudhary, A generalization of contraction principle in metric space, Fixed Point Theory Appl., 2008, 8 pp, (2008).

S. Sessa, On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math., 32, 149-153, (1982).

Q. Zhang, Y. Song, Fixed point theory for generalizedd weak contractions, Applied Mathematics Letters, 22, 75-78, (2009).