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

Yıl 2017, Cilt: 5 Sayı: 1, 243 - 249, 01.01.2017

Vildan Ozturk , Arslan Hojat Ansari

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• M. Aamri, S. Bennari, D. El Moutawakil, Fixed points and variational principle in uniform spaces, Siberian Electronic Mathematical Reports 3 (2006) 137-142.
• 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.
• M. Alimohammady, M. Ramzannezhad, On ϕ-fixed point for maps on uniform spaces, J. Nonlinear Sci. and Appl 4 (1) (2008) 241-143.
• I. Altun, Common fixed point theorems for weakly increasing mappings on ordered uniform spaces, Miskolc Mathematical Notes 12 (1) (2011) 3–10.
• I. Altun, M. Imdad, Some fixed point theorems on ordered uniform spaces, Filomat, 23 (3) (2009) 15-22.
• 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.
• 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.
• A.O. Bosede, On some common fixed point theorems in uniform spaces, General Mathematics 19 (2) (2011) 41–48.
• 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.
• R. Chugh, M. Aggarwal, Fixed points of intimate mappings in uniform spaces, Int. Journal of Math. Analysis 6 (9) (2012) 429 - 436.
• V.B. Dhagat, V. Singh, S. Nath, Fixed point theorems in uniform spaces, Int. Journal of Math. Analysis 3 (4) (2009) 197 - 202.
• 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
• J. Harjani, K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal. 71 (2009) 3403-3410.
• 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.
• 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.
• 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.
• J.J. Nieto, R.R. Lopez, Contractive mapping theorems in partially ordered sets applications to ordinary differantial equations, Order. 22 (2005) 223-239.
• 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.
• M.O. Olatinwo, Some common fixed point theorems for self-mappings in uniform space, Acta Mathematica Academiae Peadegogicae Nyiregyhaziensis 23 (2007) 47-54.
• 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
• 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.
• 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.
• D. Turkoglu, V. Ozturk, (ψ,φ )-weak contraction on ordered uniform spaces, Filomat 28:6 (2014) 1265–1269.
• S. Willard, General Topology, Addison-Wesley Publishing, 1970.