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@article{PA_2024_13_1_a5, author = {Y. Touail}, title = {On bounded metric spaces: common fixed point results with an application to nonlinear integral equations}, journal = {Problemy analiza}, pages = {82--99}, publisher = {mathdoc}, volume = {13}, number = {1}, year = {2024}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PA_2024_13_1_a5/} }
Y. Touail. On bounded metric spaces: common fixed point results with an application to nonlinear integral equations. Problemy analiza, Tome 13 (2024) no. 1, pp. 82-99. http://geodesic.mathdoc.fr/item/PA_2024_13_1_a5/
[1] Aamri M. and El Moutawakil D., “$\tau$-distance in general topological spaces with application to fixed point theory”, Southwest J. Pur. Appl. Math., 2 (2003), 1–5 | MR
[2] Alber Ya. I., Guerre-Delabriere S., “Principle of weakly contractive maps in Hilbert spaces”, Oper. Theory: Adv. Appl., 98, eds. I. Gohberg and Yu. Lyubich, Birkhauser verlag, Basel, 1997, 7–22 | DOI | MR | Zbl
[3] Browder F. E., “Nonexpansive nonlinear operators in a Banach space”, Proc. Nat. Acad. Sei. U.S.A, 54 (1965) | MR
[4] Edelstein M., “On fixed and periodic points under contractive mappings”, J. London Math. Soc., 37 (1962), 74–79 | DOI | MR | Zbl
[5] Göhde D., “Zum prinzip der kontraktiven Abbildung”, Math. Nachr., 30 (1965), 251–258 | DOI | MR | Zbl
[6] Jungck G., Rhoades B. E., “Fixed point for set valued functions without continuity”, Indian J. Pure Appl. Math., 29:3 (1998), 227–238 | MR | Zbl
[7] Karapinar E., Yüksel U., “Some Common Fixed Point Theorems in Partial Metric Spaces”, J. Appl. Math., 2011, 263621, 16 pp. | DOI | MR | Zbl
[8] Karapinar E., Kumam P., Salimi P., “On a $\alpha$-$\psi$-Meir-Keeler contractive mappings”, Fixed Point Theory Appl., 2013, 94 | DOI | MR | Zbl
[9] Khalehoghli S., Rahimi H., Eshaghi M., “Fixed point theorems in R-metric spaces with applications”, AIMS Math., 5:4 (2020), 3125–3137 | DOI | MR | Zbl
[10] Künzi H.-P. A., Pajoohesh H., Schellekens M. P., “Partial quasi-metrics”, Theor. Comp. Sc., 365:3 (2006), 237–246 | DOI | MR | Zbl
[11] Matthews S. G., “Partial metric topology”, Proc. 8th Summ. Confer. Gener. Topo. Appl., Annals of the New York Academy of Sciences, 728, 1994, 183–197 | DOI | MR | Zbl
[12] Nemytzki V. V., “The fixed point method in analysis”, Usp. Mat. Nauk, 1 (1936), 141–174 (in Russian)
[13] O'Neill S. J., Two topologies are better than one, Tech. Rep., University of Warwick, Coventry, UK, 1995 | Zbl
[14] Radenović S., Kadelburg Z., Jandrlić D., Jandrlić A., “Some results on weak contraction maps”, Bull. Iranian Math. Soc., 38 (2012), 625–645 | MR | Zbl
[15] Rhoades B. E., “Some theorems on weakly contractive maps”, Nonl. Anal., 47 (2001), 2683–2693 | DOI | MR | Zbl
[16] Rosa V. L., Vetro P., “Common fixed points for a $\alpha$-$\psi$-$\phi$-contractions in generalized metric spaces”, Nonl. Anal.: Model. and Cont., 19:1 (2014), 43–54 | DOI | MR | Zbl
[17] Schellekens M. P., “A characterization of partial metrizability: domains are quantifiable”, Theoret. Comput. Sc., 305:13 (2013), 409–432 | DOI | MR
[18] Touail Y., El Moutawakil D., Bennani S., “Fixed Point theorems for contractive selfmappings of a bounded metric space”, J. Func. Spac. Volume, 2019, 4175807, 3 pp. | DOI | MR | Zbl
[19] Touail Y., El Moutawakil D., “Fixed point results for new type of multivalued mappings in bounded metric spaces with an application”, Ricerche Mat., 71 (2022), 315–323 | DOI | MR | Zbl
[20] Touail Y., El Moutawakil D., “New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations”, Int. J. Nonlinear Anal. Appl., 2021, 903–911 | DOI | MR
[21] Touail Y., El Moutawakil D., “Fixed point theorems for new contractions with application in dynamic programming”, Vestnik St.Petersb. Univ. Math., 54 (2021), 206–212 | DOI | MR | Zbl
[22] Touail Y., El Moutawakil D., “Some new common fixed point theorems for contractive selfmappings with applications”, Asian. Eur. J. Math., 15:4 (2022), 2250080 | DOI | MR | Zbl
[23] Touail Y., El Moutawakil D., “Fixed point theorems on orthogonal complete metric spaces with an application”, Int. J. Nonl. Anal. Appl., 2021, 1801–1809 | DOI | MR
[24] Touail Y., El Moutawakil D., “$\perp_{\psi F} $-contractions and some fixed point results on generalized orthogonal sets”, Rend. Circ. Mat. Palermo, II. Ser., 2020 | DOI | MR
[25] Touail Y., Jaid A., El Moutawakil D., “New contribution in fixed point theory via an auxiliary function with an application”, Ricerche Mat., 72 (2023), 181–191 | DOI | MR
[26] Touail Y., “On multivalued $\perp_{ \psi F} $-contractions on generalized orthogonal sets with an application to integral inclusions”, Probl. Anal. Issues Anal., 29:3 (2022), 109–124 | DOI | MR | Zbl
[27] Touail Y., “A New Generalization of Metric Spaces Satisfying the $T_2$-Separation Axiom and Some Related Fixed Point Results”, Russ. Math., 67 (2023), 76–86 | DOI | MR | Zbl