References
- M. Abbas and T. Nazir, Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph, Fixed Point Theory Appl. (2013), 2013:20. https://doi.org/10.1186/1687-1812-2013-20
- M. Abbas, B. Ali and S. Romaguera, Fixed and periodic points of generalized contractions in metric spaces, Fixed Point Theory Appl. (2013), 2013:243. https://doi.org/10.1186/1687-1812-2013-243
-
T. Abdeljawad, Meir-Keeler
${\alpha}$ -contractive fixed and common fixed point theorems, Fixed Point Theory Appl. (2013), doi:10.1186/1687-1812-2013-19. -
O. Acar and I. Altun, A fixed point theorem for multivalued mappings with
${\delta}$ -Distance, Abstr. Appl. Anal., (2014), Article ID 497092, 5 pages. - J. Ahmad, A. Al-Rawashdeh, A. Azam, Some new fixed point theorems for generalized F-contractions in complete metric spaces, Fixed Point Theory Appl. (2015), 2015:80. https://doi.org/10.1186/s13663-015-0333-2
-
M. Arshad , Fahimuddin, A. Shoaib and A. Hussain, Fixed point results for
${\alpha}-{\psi}$ -locally graphic contraction in dislocated qusai metric spaces, Math Sci., (2014), doi 10.1007/s40096-014-0132, 7 pages. - M. Arshad , A. Shoaib, I. Beg, Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered complete dislocated metric space, Fixed Point Theory Appl. (2013), 2013:115. https://doi.org/10.1186/1687-1812-2013-115
- M. Arshad, A. Shoaib, and P. Vetro, Common fixed points of a pair of Hardy Rogers type mappings on a closed ball in ordered dislocated metric spaces, Journal of Function Spaces, 2013 (2013), article ID 638181, 9 pages.
- M. Arshad, S. Khan and J Ahmad, Fixed point results for F-contractions involving some new rational expressions, JP Journal of Fixed Point Theory and Applications, 11(1) (2016), 79-97. https://doi.org/10.17654/FP011010079
- A. Azam, S. Hussain and M. Arshad, Common fixed points of Chatterjea type fuzzy mappings on closed balls, Neural Computing & Applications, (2012), 21 (Suppl 1):S313-S317. https://doi.org/10.1007/s00521-012-0907-4
- A. Azam, M. Waseem, M. Rashid, Fixed point theorems for fuzzy contractive mappings in quasi-pseudo-metric spaces, Fixed Point Theory Appl. (2013), 2013:27. https://doi.org/10.1186/1687-1812-2013-27
- S.Banach, Sur les operations dans les ensembles abstraits et leur application aux equations itegrales, Fund. Math., 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181
- F. Bojor, Fixed point theorems for Reich type contraction on metric spaces with a graph, Nonlinear Anal., 75 (2012), 3895-3901. https://doi.org/10.1016/j.na.2012.02.009
- LB. Ciric, A generalization of Banach's contraction principle, Proc. Am. Math. Soc., 45 (1974), 267-273 https://doi.org/10.1090/S0002-9939-1974-0356011-2
- M. Cosentino, P. Vetro, Fixed point results for F-contractive mappings of Hardy-Rogers-Type, Filomat 28(4) (2014), 715-722. https://doi.org/10.2298/FIL1404715C
- M. Edelstein, On fixed and periodic points under contractive mappings, J. Lond. Math. Soc., 37 (1962), 74-79. https://doi.org/10.1112/jlms/s1-37.1.74
- B. Fisher, Set-valued mappings on metric spaces, Fundamenta Mathematicae, 112(2) (1981), 141-145. https://doi.org/10.4064/fm-112-2-141-145
- M. Geraghty, On contractive mappings, Proc. Amer. Math. Soc., 40 (1973), 604-608. https://doi.org/10.1090/S0002-9939-1973-0334176-5
- A. Hussain and M. Arshad, New type of multivalued F-Contraction involving fixed Point on Closed Ball, J. Math. Comp. Sci. 10 (2017), 246-254.
-
A. Hussain, M. Arshad and Sami Ullah Khan,
$\tau$ -Generalization of Fixed Point Results for F-Contractions, Bangmod Int. J. Math & Comp. Sci. 1(1) (2015), 136-146. - N. Hussain , J. Ahmad and A. Azam , On Suzuki-Wardowski type fixed point theorems, The Journal of Nonlinear Sciences and Applications, (2015), 909-918. https://doi.org/10.22436/jnsa.008.06.02
-
N. Hussain and P. Salimi, suzuki-wardowski type fixed point theorems for
${\alpha}$ -GF-contractions, Taiwanese J. Math., 20 (2014), doi: 10.11650/tjm.18.2014.4462. -
N. Hussain, S. Al-Mezel and P. Salimi, Fixed points for
${\alpha}-{\psi}$ -graphic contractions with application to integral equations, Abstr. Appl. Anal., (2013), Article 575869. - J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc., 1(136) (2008), 1359-1373.
-
E. Karapinar and B. Samet, Generalized (
${\alpha}-{\psi}$ ) contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., (2012), Article id:793486. - E. Kryeyszig., Introductory Functional Analysis with Applications, John Wiley & Sons, New York, (Wiley Classics Library Edition) (1989).
-
MA. Kutbi, M. Arshad and A. Hussain, On Modified
${\alpha}-{\eta}$ -Contractive mappings, Abstr. Appl. Anal., (2014), Article ID 657858, 7 pages. -
MA. Kutbi, M. Arshad and A.Hussain, Fixed Point Results for Ciric type
${\alpha}-{\eta}$ -GF-Contractions, journal of Computational Analysis and Applications 21(3) (2016), 466-481. - G. Minak, A. Halvaci and I. Altun, Ciric type generalized F-contractions on complete metric spaces and fixed point results, Filomat, 28(6) (2014), 1143-1151. https://doi.org/10.2298/FIL1406143M
- SB. Nadler, Multivalued contraction mappings, Pac. J. Math., 30 (1969), 475-488. https://doi.org/10.2140/pjm.1969.30.475
- M. Nazam, M. Arshad and A. Hussain, Fixed Point Theorems For Chatterjea's type Contraction on Closed ball, Journal of Analysis and Number Theory. 5(1) (2017), 1-8. https://doi.org/10.18576/jant/050101
- H. Piri and P. Kumam, Some fixed point theorems concerning F-contraction in complete metric spaces, Fixed Point Theory Appl. (2014), 2014:210. https://doi.org/10.1186/1687-1812-2014-210
- M. Sgroi and C. Vetro, Multi-valued F-contractions and the solution of certain functional and integral equations, Filomat, 27(7) (2013), 1259-1268. https://doi.org/10.2298/FIL1307259S
-
P. Salimi, A. Latif and N. Hussain, Modified
${\alpha}-{\psi}$ -Contractive mappings with applications, Fixed Point Theory Appl. (2013), 2013:151. https://doi.org/10.1186/1687-1812-2013-151 - SU. Khan, M. Arshad and A. Hussain, Two new Types of fixed point theorems for F-contraction, Journal of Advanced Studies in Topology, 7(4) (2016), 251-260. https://doi.org/10.20454/jast.2016.1050
- NA. Secelean, Iterated function systems consisting of F-contractions, Fixed Point Theory Appl. (2013), Article ID 277 (2013). doi:10.1186/1687-1812-2013-277.
- A. Shoaib, M. Arshad and J. Ahmad, Fixed point results of locally cotractive mappings in ordered quasi-partial metric spaces, The Scientic World Journal, 2013 (2013), Article ID 194897, 1-8.
-
B. Samet, C. Vetro and P. Vetro, Fixed point theorems for
${\alpha}-{\psi}$ -contractive type mappings, Nonlinear Anal. 75 (2012) 2154-2165. https://doi.org/10.1016/j.na.2011.10.014 - D. Wardowski, Fixed point theory of a new type of contractive mappings in complete metric spaces. Fixed PoinTheory Appl. (2012), Article ID 94.