### EXISTENCE AND STABILITY RESULTS FOR COINCIDENCE POINTS OF NONLINEAR CONTRACTIONS

**DOI Number**

**First page**

**Last page**

#### Abstract

#### Keywords

#### Keywords

#### Full Text:

PDF#### References

P. Amiri, Sh. Rezapour, N. Shahzad, Fixed points of generalized $alpha$ − $psi$ - contractions, RACSAM 108 (2) (2014), 519–526.

S. Banach, Sur les oprations dans les ensembles abstraits et leurs applications aux quations intgrales, Fund Math. 3(1922), 133–181.

C. D. Bari, C. Vetro, Common fixed point theorems for weakly compatible maps satisfying a general contractive condition, Int. J. Math. Math. Sci. 2008 (2008), Article ID 891375.

G. V. R. Babu, K. N. V. V. Vara Prasad, Common fixed point theorems of different compatible type mappings using Ćirić’s contraction type condition, Math. Commun. 11 (2006), 87-102.

R. K. Bose, R. N. Mukherjee, Stability of fixed point sets and common fixed points of families of mappings, Indian J. Pure Appl. Math. 9 (1980), 1130–1138.

B. S. Choudhury, N. Metiya, Coincidence point theorems for a family of multivalued mappings in partially ordered metric spaces, Acta Universitatis Matthiae Belii, series Mathematics 21 (2013), 13–26.

B. S. Choudhury, N. Metiya, M. Postolache, A generalized weak contraction principle with applications to coupled coincidence point problems, Fixed Point Theory Appl. 2013 (2013) : 152.

B. S. Choudhury, N. Metiya, C. Bandyopadhyay, Fixed points of multivalued -admissible mappings and stability of fixed point sets in metric spaces, Rend. Circ. Mat. Palermo 64 (2015), 43–55.

B. S. Choudhury, N. Metiya, T. Som, C. Bandyopadhyay, Multivalued fixed point results and stability of fixed point sets in metric spaces, Facta Universitatis (NIŠ) Ser. Math. Inform. 30 (4) (2015), 501–512.

N. Hussain, E. Karapinar, P. Salimi, F. Akbar, $alpha$-admissible mappings and related fixed point theorems, Journal of Inequalities and Applications 2013 (2013) : 114.

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

S. M. Kang, Y. J. Cho, G. Jungck, Common fixed point of compatible mappings, Int. J. Math. Math. Sci. 13 (1990), 61-66.

E. Karapinar, B. Samet, Generalized − contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal. 2012 (2012), Article ID 793486.

T. C. Lim, Fixed point stability for set valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110 (1985), 436–441.

J. T. Markin, A fixed point stability theorem for nonexpansive set valued mappings, J. Math. Anal. Appl. 54 (1976), 441–443.

S. B. Nadler Jr., Sequences of contractions and fixed points, Pacifc J. Math. 27 (1968), 579–585.

S. B. Jr. Nadler, Multivalued contraction mapping, Pac. J. Math. 30 (1969), 475–488.

A. Razani, M. Yazdi, Two common fixed point theorems for compatible mappings, Int. J. Nonlinear Anal. Appl. 3 (2010), 22-33.

B. Samet, C. Vetro, P. Vetro, Fixed point theorems for $alpha$ − $psi$ -contractive type mappings, Nonlinear Anal. 75 (2012), 2154–2165.

P. Salimi, A. Latif, N. Hussain, Modified $alpha$ − $psi$ - contractive mappings with applications, Fixed Point Theory Appl. 2013 (2013) : 151.

D. Türkoğlu, O. Özer, B. Fisher, A coincidence point theorem for multivalued contractions, Math. Commun. 7(2002), 39–44.

DOI: https://doi.org/10.22190/FUMI1704469C

### Refbacks

- There are currently no refbacks.

ISSN 0352-9665 (Print)