Set-Valued Prešić-Chatterjea Type Contractions and Fixed
SET-VALUED PREŠIĆ-CHATTERJEA TYPE CONTRACTIONS AND FIXED POINT THEOREMS
In this paper, we establish some common fixed point theorems for two mappings satisfying set-valued Pre\v{s}i\'{c}-Chatterjea type contractive conditions. The new theorems generalize and unify some well-known theorems of the literature. We also provide some examples to illustrate and confirm the usability of the obtained results.
Keywords:
Set-valued mapping, Pre\v{s}i\'{c}-Chatterjea type contraction, common fixed point fixed point.,
___
- M. S. Khan, M. Berzig, and B. Samet, Some convergence results for iterative
- sequences of Preˇsi´c type and applications, Advances in Difference Equations
- (2012). doi:10.1186/1687-1847-2012-38
- N. Shahzad, S. Shukla, Set-valued G-Preˇsi´c operators on metric spaces endowed
- with a graph and fixed point theorems, Fixed Point Theory Appl., (In Press).
- R. Kannan, Some results on fixed point, Bull. Calcutta Math. Soc., 60, 71-
- (1968).
- S. Reich, Some remarks concerning contraction mappings, Canad. Nth. Bull., 14,
- -124(1971) MR 45# 1145
- S. Shukla, Some stability results and Assad-Kirk type fixed point theorems for setvalued
- Preˇsi´c type mappings, Journal of Nonlinear and Convex Analysis, (in
- press)
- S. Shukla, R. Sen, S. Radenovi´c, Set-valued Preˇsi´c type contraction in metric
- spaces, An. S¸ tiint¸. Univ. Al. I. Cuza Ias¸i. Mat. (N.S.) (in press)
- S. Shukla, R. Sen, Set-valued Preˇsi´c-Reich type mappings in metric spaces, Revista
- de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A.
- Matematicas (2012). DOI 10.1007/s13398-012-0114-2
- S. Shukla, Set-valued Preˇsic´-C´ iric´ type contraction in 0-complete partial metric
- spaces, Matemati´cki Vesnik, 66(2), 178-189 (2014)
- S. Shukla, S. Radenovi´c, Some generalizations of Preˇsi´c type mappings and applications,
- An. S¸ tiint¸. Univ. Al. I. Cuza Ias¸i. Mat. (N.S.) (accepted)(2014).
- S.B. Nadler Jr., Multi-valued contraction mappings, Pac. J. Math. 30, 475-488
- (1969)
- S.B. Preˇsi´c, Sur la convergence des suites, Comptes. Rendus. de l’Acad. de Paris,
- , 3828-3830 (1965)
- S.B. Preˇsi´c, Sur une classe dinequations aux differences finite et sur la convergence
- de certaines suites, Publ. de lInst. Math. Belgrade, 5(19), 75-78 (1965)
- S.K. Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci., 25, 727-730
- (1972)
- Y. Z. Chen, A Preˇsi´c type contractive condition and its applications, Nonlinear
- Anal., doi:10.1016/j.na.2009.03.006 (2009)
- Yayın Aralığı: 4
- Başlangıç: 1988
- Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü