This paper investigates the existence of fixed points for weak Hicks contractions in generalized b-Menger spaces. An example is provided to illustrate the validity of the results obtained.
[1] Y. Achtoun, S. Radenovi ´ c, I. Tahiri, M. L. Sefian, The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation ,
Nonlinear Analysis: Modelling and Control, Vol. 29, No. 3, (2024) 1-12.
[2] O. Hadˇzi´c, A fixed point theorem in Menger spaces, Publ. Inst. Math. (Beograd) T. 20 ,(1979), 107-112.
[3] O. Hadˇzi´c, E. Pap, M. Budinccvic, Countable extension of triangular norms and their applications to fixed point theory in probabilistic metric spaces,
Kibermetica, 38, 3 (2002) 363-381.
[4] O. Hadˇzi´c, E. Pap, Fixed point theory in probabilistic metric spaces, Kluwer Academic Publishers, Dordrecht (2001).
[5] T.L. Hicks, Fixed point theory in PM spaces, Rev. Resh. Novi. Sad., 13, (1983) 63-72.
[6] A. Mbarki, J. Hlal, Weakly-H contraction fixed point theorem in b-menger spaces, International Journal of Applied Mathematics, 35, No 2 (2022),
225–232.
[7] A. Mbarki, R. Oubrahim, Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory and Applications, 2017, vol. 2017, no 1, p. 29.
[8] A. Mbarki, R. Oubrahim, Fixed point theorems with cyclical contractive conditions in b-Menger spaces, Results in Fixed Point Theory and Applications,
2018, (2018); doi: 10.30697/rfpta-2018-005.
[9] A. Mbarki, R. Oubrahim, Common fixed point theorems in b-Menger spaces, In: Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in
Fuzziness and Soft Computing, Springer, (2019), 283-289.
[10] A. Mbarki, R. Oubrahim, Common fixed point theorem in b-Menger spaces with a fully convex structure, Int. J. Appl. Math., 32, No 2, (2019), 219-238;
doi: 10.12732/ijam.v32i5.1.
[11] A. Mbarki, R. Oubrahim, Fixed point theorem satisfying cyclical conditions in b-Menger spaces, Moroccan J. Pure. Appl. Anal., 5, No 1, (2019), 31-36.
[12] A. Mbarki, R. Oubrahim, Probabilistic j-contraction in b-Menger spaces with fully convex structure, Int. J. Appl. Math., 33, No 4 (2020), 621-633.
[13] A. Mbarki, R. Oubrahim, Some properties of convexity structure and applications in b-Menger spaces, In : Mathematical and Computational Methods
for Modelling, Approximation and Simulation. Cham : Springer International Publishing, 2022. p. 181-189.
[14] D. Mihet¸, Weak-Hicks contractions, Fixed Point Theory, 6, No 1, (2005), 71-78.
[15] R. Oubrahim, R. Naciri, A. Mbarki, Fixed point theorems in generalized b-Menger spaces, Results in Nonlinear Analysis, 7 (2024) No. 1, 35-43.
[16] B. Schweizer, H. Sherwood and R.M. Tradif, Contractions on probabilistic metric spaces: examples and counterexamples, Stochastica., XII, 1 (1988),
5-17.
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Year 2025,
Volume: 13 Issue: 2, 300 - 304, 31.10.2025
[1] Y. Achtoun, S. Radenovi ´ c, I. Tahiri, M. L. Sefian, The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation ,
Nonlinear Analysis: Modelling and Control, Vol. 29, No. 3, (2024) 1-12.
[2] O. Hadˇzi´c, A fixed point theorem in Menger spaces, Publ. Inst. Math. (Beograd) T. 20 ,(1979), 107-112.
[3] O. Hadˇzi´c, E. Pap, M. Budinccvic, Countable extension of triangular norms and their applications to fixed point theory in probabilistic metric spaces,
Kibermetica, 38, 3 (2002) 363-381.
[4] O. Hadˇzi´c, E. Pap, Fixed point theory in probabilistic metric spaces, Kluwer Academic Publishers, Dordrecht (2001).
[5] T.L. Hicks, Fixed point theory in PM spaces, Rev. Resh. Novi. Sad., 13, (1983) 63-72.
[6] A. Mbarki, J. Hlal, Weakly-H contraction fixed point theorem in b-menger spaces, International Journal of Applied Mathematics, 35, No 2 (2022),
225–232.
[7] A. Mbarki, R. Oubrahim, Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory and Applications, 2017, vol. 2017, no 1, p. 29.
[8] A. Mbarki, R. Oubrahim, Fixed point theorems with cyclical contractive conditions in b-Menger spaces, Results in Fixed Point Theory and Applications,
2018, (2018); doi: 10.30697/rfpta-2018-005.
[9] A. Mbarki, R. Oubrahim, Common fixed point theorems in b-Menger spaces, In: Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in
Fuzziness and Soft Computing, Springer, (2019), 283-289.
[10] A. Mbarki, R. Oubrahim, Common fixed point theorem in b-Menger spaces with a fully convex structure, Int. J. Appl. Math., 32, No 2, (2019), 219-238;
doi: 10.12732/ijam.v32i5.1.
[11] A. Mbarki, R. Oubrahim, Fixed point theorem satisfying cyclical conditions in b-Menger spaces, Moroccan J. Pure. Appl. Anal., 5, No 1, (2019), 31-36.
[12] A. Mbarki, R. Oubrahim, Probabilistic j-contraction in b-Menger spaces with fully convex structure, Int. J. Appl. Math., 33, No 4 (2020), 621-633.
[13] A. Mbarki, R. Oubrahim, Some properties of convexity structure and applications in b-Menger spaces, In : Mathematical and Computational Methods
for Modelling, Approximation and Simulation. Cham : Springer International Publishing, 2022. p. 181-189.
[14] D. Mihet¸, Weak-Hicks contractions, Fixed Point Theory, 6, No 1, (2005), 71-78.
[15] R. Oubrahim, R. Naciri, A. Mbarki, Fixed point theorems in generalized b-Menger spaces, Results in Nonlinear Analysis, 7 (2024) No. 1, 35-43.
[16] B. Schweizer, H. Sherwood and R.M. Tradif, Contractions on probabilistic metric spaces: examples and counterexamples, Stochastica., XII, 1 (1988),
5-17.
Mbarkı, A. (2025). On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces. Konuralp Journal of Mathematics, 13(2), 300-304.
AMA
Mbarkı A. On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces. Konuralp J. Math. October 2025;13(2):300-304.
Chicago
Mbarkı, Abderrahim. “On the Existence of Fixed Points for Weak Hicks Contractions in Generalized B-Menger Spaces”. Konuralp Journal of Mathematics 13, no. 2 (October 2025): 300-304.
EndNote
Mbarkı A (October 1, 2025) On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces. Konuralp Journal of Mathematics 13 2 300–304.
IEEE
A. Mbarkı, “On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces”, Konuralp J. Math., vol. 13, no. 2, pp. 300–304, 2025.
ISNAD
Mbarkı, Abderrahim. “On the Existence of Fixed Points for Weak Hicks Contractions in Generalized B-Menger Spaces”. Konuralp Journal of Mathematics 13/2 (October2025), 300-304.
JAMA
Mbarkı A. On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces. Konuralp J. Math. 2025;13:300–304.
MLA
Mbarkı, Abderrahim. “On the Existence of Fixed Points for Weak Hicks Contractions in Generalized B-Menger Spaces”. Konuralp Journal of Mathematics, vol. 13, no. 2, 2025, pp. 300-4.
Vancouver
Mbarkı A. On the Existence of Fixed Points for Weak Hicks Contractions in Generalized b-Menger Spaces. Konuralp J. Math. 2025;13(2):300-4.