Fixed point theorems for (F,ψ,φ)- contractions on ordered S-Complete Hausdorff uniform spaces

Abstract

The aim of this paper is to proved some new fixed point theorems for (F,ψ,φ)-weak contractions on ordered S-complete Hausdorff uniform spaces. Our results extend existing results in the literature.

Keywords

• Fixed point,(F,ψ,φ)-contraction,C-class function,E-distance

References

1. M. Aamri, S. Bennari, D. El Moutawakil, Fixed points and variational principle in uniform spaces, Siberian Electronic Mathematical Reports 3 (2006) 137-142.
2. M. Aamri, D. El Moutawakil, Common fixed point theorems for E-contractive or E-expansive maps in uniform spaces, Acta Mathematica Academiae Peadegogicae Nyiregyhaziensis 20 (2004) 83-91.
3. M. Alimohammady, M. Ramzannezhad, On ϕ-fixed point for maps on uniform spaces, J. Nonlinear Sci. and Appl 4 (1) (2008) 241-143.
4. I. Altun, Common fixed point theorems for weakly increasing mappings on ordered uniform spaces, Miskolc Mathematical Notes 12 (1) (2011) 3–10.
5. I. Altun, M. Imdad, Some fixed point theorems on ordered uniform spaces, Filomat, 23 (3) (2009) 15-22.
6. A. H.Ansari,Note on” φ –ψ-contractive type mappings and related fixed point”,The 2nd Regional Conference on Mathematics And Applications,PNU,September (2014) 377-380.
7. A. H. Ansari, S. Chandok, C. Ionescu, Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions,Journal of Inequalities and Applications 2014 (2014) Article ID 429.
8. A.O. Bosede, On some common fixed point theorems in uniform spaces, General Mathematics 19 (2) (2011) 41–48.

9. L.J. Ćirić, N. Cakić, M. Rajović, J.S. Ume, Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl. 2008 (2008) Article ID 131294.
10. R. Chugh, M. Aggarwal, Fixed points of intimate mappings in uniform spaces, Int. Journal of Math. Analysis 6 (9) (2012) 429 - 436.
11. V.B. Dhagat, V. Singh, S. Nath, Fixed point theorems in uniform spaces, Int. Journal of Math. Analysis 3 (4) (2009) 197 - 202.
12. Z. M. Fadail, A. G. Bin Ahmad, A. H. Ansari, S. Radenović , M. Rajović, Some common fixed point results of mappings in 0-σ-complete metric-like spaces via new function, Applied Mathematical Sciences, 9 (83) (2015) 4109 - 4127
13. J. Harjani, K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal. 71 (2009) 3403-3410.
14. E. Hoxha, A. H.Ansari, K. Zoto, Some common fixed point results through generalized altering distances on dislocated metric spaces, Proceedings of EIIC, september 1-5 (2014) 403-409.
15. M.S. Khan, M. Swaleh, S. Sessa, Fixed point theorems by altering distances between the points, Bulletin of the Australian Mathematical Society 30 (1) (1984) 1–9.
16. H.K. Nashine, B. Samet, Fixed point results for mappings satisfying (ψ,φ)- weakly contractive condition in partially ordered metric spaces, Nonlinear Anal. 74 (6) (2011) 2201-2209.
17. J.J. Nieto, R.R. Lopez, Contractive mapping theorems in partially ordered sets applications to ordinary differantial equations, Order. 22 (2005) 223-239.
18. M.O. Olatinwo, On some common fixed point theorems of Aamri and El Moutawakil in uniform spaces, Applied Mathematics E-Notes 8 (2008) 254-262.
19. M.O. Olatinwo, Some common fixed point theorems for self-mappings in uniform space, Acta Mathematica Academiae Peadegogicae Nyiregyhaziensis 23 (2007) 47-54.
20. V. Ozturk, D. Turkoglu, Common fixed point for (ψ,φ)-weak contractions on ordered gauge spaces and applications, Journal Of Nonlinear Sci. Appl. 16(3) (2015) 473-483
21. A.C.M. Ran, M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2004) 1435-1443.
22. S. Sedghi, N. Shobkolaei, S. Firouzian, I. Altun, Cyclic ϕ-contractions on S-complete Hausdorff uniform spaces, Kuwait J. Sci., 42 (1) (2015) 55-63.
23. D. Turkoglu, V. Ozturk, (ψ,φ )-weak contraction on ordered uniform spaces, Filomat 28:6 (2014) 1265–1269.
24. S. Willard, General Topology, Addison-Wesley Publishing, 1970.