Some fixed point results on G-metric and Gb-metric spaces

• Autorzy: Jaradat M. M. M. , Mustafa Z. , Khan S. U. , Arshad M. , Ahmad J.

Identyfikatory

DOI

10.1515/dema-2017-0018

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to prove some fixed point results using JS-G-contraction on G-metric spaces, also to prove some fixed point results on Gb-complete metric space for a new contraction. Our results extend and improve some results in the literature. Moreover, some examples are presented to illustrate the validity of our results.

Słowa kluczowe

EN

fixed point; G-metric space; Gb-metric space; JS-G-contraction

PL

punkt stały; przestrzeń G-metryczna; przestrzeń metryczna; kontrakcja

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 190--207
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Jaradat M. M. M.

• Department of Mathematics, Statistics and Physics, Qatar University, Doha-Qatar

autor

Mustafa Z.

• Department of Mathematics, Statistics and Physics, Qatar University, Doha-Qatar
• Department of Mathematics, The Hashemite University, Zarqa-Jordan

autor

Khan S. U.

• Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
• Department of Mathematics, Gomal University D. I. Khan, KPK, Pakistan

autor

Arshad M.

• Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan

autor

Ahmad J.

• Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

Bibliografia

• [1] Mustafa Z., Sims B., A new approach to generalized metric space, J. Nonlinear Convex Anal., 2006, 7, 289-297
• [2] Abbas M., Nazir T., Shatanawi W., Mustafa Z., Fixed and related fixed point theorems for three maps in G-metric spaces, Hacet. J. Math. Stat., 2012, 41, 291-306
• [3] Aydi H., Postolache M., Shatanawi W., Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces, Comput. Math. Appl., 2012, 63, 298-309
• [4] Algamdi M. A., Karapinar E., G-β-ψ-contractive type mappings in G-metric spaces, Fixed Point Theory and Appl., 2013, 2013:123
• [5] Chandok S., Mustafa Z., Postolache M., Coupled common fixed point results for mixed g-monotone mapps in partially or-dered G-metric spaces, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 2013, 75, 13-26
• [6] Mustafa Z., Common fixed points of weakly compatible mappings in G-metric spaces, Appl. Math. Sci., 2012, 6, 4589-4600
• [7] Mustafa Z., Aydi H., Karapinar E., On common fixed points in G-metric spaces using (E.A) property, Computer and Mathematics with Application, 2012, 64, 1944-1956
• [8] Mustafa Z., Khandagjy M., Shatanawi W., Fixed point results on complete G-metric spaces, Studia Sci. Math. Hungar., 2011, 48, 304-319
• [9] Mustafa Z., Parvaneh V., Abbas M., Roshan J., Some coincidence point results for generalized-weakly contractive mappings in ordered G-metric spaces, Fixed Point Theory Appl., 2013, 2013:326
• [10] Mustafa Z., Van T., Dung N., Two fixed point theorems for maps on incomplete G-metric spaces, Appl. Math. Sci., 2013, 7, 2271-2281
• [11] Mustafa Z., Jaradat M., Jaradat H. M., A remarks on the paper "Some fixed point theorems for generalized contractive mappings in complete metric spaces", Journal of Mathematical Analysis, 2017, 8, 2, 17-22
• [12] Mustafa Z., Jaradat M., Karapinar E., A new fixed point result via property P with an application, J. Nonlinear Sci. Appl., 2017, 10, 2066-2078
• [13] Mustafa Z., Arshad M., Khan S., Ahmad J., Jaradat M., Common fixed points for multivalued mappings in G-metric spaces with applications, J. Nonlinear Sci. Appl., 2017, 10, 2550-2564
• [14] Mustafa Z., Roshan J., Parvaneh V., Coupled coincidence point results for (ψ, φ)-weakly contractive mappings in partially ordered Gb-metric spaces, Fixed point Theory Appl., 2013, 2013:206, DOI: 10.1186/1687-1812-2013-206
• [15] Mustafa Z., Roshan J., Parvaneh V., Existence of tripled coincidence point in ordered Gb-metric spaces and applications to system of integral equations, J. Inequal. Appl., 2013, 2013:453
• [16] Pourhadi E., A criterion for the completeness of G-metric spaces, J. Adv. Math. Stud., 2016, 9, 401-404
• [17] Rao K., Lakshmi K., Mustafa Z., Raju V., Fixed and related fixed point theorems for three maps in G-metric spaces, J. Adv. Stud. Topol., 2012, 3, 12-20
• [18] Rao K., Lakshmi K., Mustafa Z., A unique common fixed point theorem for six maps in G-metric spaces, Int. J. Nonlinear Anal. Appl., 2012, 3, 17-23
• [19] Shatanawi W., Bataihah A., Pitea A., Fixed and common fixed point results for cyclic mappings of Ω-distance, J. Nonlinear Sci. Appl., 2016, 9, 727-735
• [20] Shatanawi W., Noorani MD., Alsamir H., Bataihah A., Fixed and common fixed point theorems in partially ordered quasi-metric spaces, J. Math. Computer Sci., 2016, 16, 516-528
• [21] Shatanawi W., Mustafa Z., Tahat N., Some coincidence point theorems for nonlinear contraction in ordered metric spaces, Fixed Point Theory Appl., 2011, 2011:68
• [22] Shatanawi W., Pitea A., Ω-distance and coupled fixed point in G-metric spaces, Fixed Point Theory Appl., 2013, 2013:208
• [23] Shatanawi W., Postolache M., Some fixed point results for a G-weak contraction in G-metric spaces, Abstr. Appl. Anal., 2012, Art. ID 815870
• [24] Tahat N., Aydi H., Karapinar E., Shatanawi W., Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in G-metric spaces, Fixed Point Theory Appl., 2012, 2012:48
• [25] Jleli M., Samet B., A new generalization of the Banach contraction principle, J. Inequal. Appl., 2014, 2014:38
• [26] Hussain N., Parvaneh V., Samet B., Vetro C., Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2015, 2015:185
• [27] Onsod W., Saleewong T., Ahmad J., Al-Mazrooei A., Poom Kumam, Fixed points of a Θ-contraction on metric spaces with a graph, Commun. Nonlinear Anal., 2016, 2, 139-149
• [28] Ahmad J., Al-Rawashdeh A., Azam A., New Fixed Point Theorems for Generalized Contractions in Complete Metric Spaces, Fixed Point Theory Appl., 2015, 2015:80
• [29] Ahmad A., Al-Rawashdeh A., Azam A., Fixed point results for {α, ξ}-expansive locally contractive mappings, J. Inequal. Appl., 2014, 2014:364
• [30] Al-Rawashdeh A., Ahmad J., Common Fixed Point Theorems for JS-Contractions, Bull. Math. Anal. Appl., 2016, 8, 12-22
• [31] Aghajani A., Abbas M., Roshan J., Common fixed points of generalized weak contractive mappings in partially ordered Gb-metric spaces, Filomat, 2014, 28, 1087-1101

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).