[PDF] Top 20 Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications

... [1] generalized Banach’s contraction principle by introducing the con- cept of weak contraction mappings in Hilbert ...fixed point. Rhoades [2] extended weak contraction principle in Hilbert ... See full document

... b-metric spaces and prove some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric ...fixed point results in ... See full document

... its applications to matrix ...nondecreasing mappings and applied to obtain a unique solution for a first-order ordinary differential equation with periodic boundary ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...ordered metric ... See full document

... of fixed points of functions satisfying certain contractive conditions has been at the center of vigorous research activity, for example see 1–5 and it has a wide range of applications in different ... See full document

... fixed point theory via ordered metric ...fixed point in partially ordered sets has been considered re- cently in ...existence theorems for fuzzy differential equations. In [, ] some ... See full document

... Metric spaces are playing an increasing role in mathematics and the applied ...of fixed point theory in metric spaces has attracted considerable attention due to numerous ... See full document

... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document

... Aydi, “Fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces,” Journal of Nonlinear Analysis and Optimization: Theory and Applications, vol..[r] ... See full document

... contraction mappings. Can. Math. Bull. 14, 121-124 (1971) 6. ´Ciri´c, L: Generalized contractions and fixed-point ...fixed point theorems. Fixed Point Theory ... See full document

... By assumption, (X , d) is bicomplete, hence (X , d s ) is complete. Moreover, since E and RE are join closed, we conclude by Theorem 2.14 that T, R and S have a unique common fixed point. Theorem 3.3. Let ... See full document

... We conclude the article with some examples which illustrate the obtained results. Example 2.11. Let X = [0, 1] be endowed with usual order and let p be the complete partial metric on X defined by p(x, y) = max{x, ... See full document

... type mappings and established some fixed point theorems in complete metric ...φ)-contractive mappings and stablish coincidence and common fixed point ... See full document

... The theoretical framework of fixed point theory has been an active research field over the last three decades. Of course, the Banach contraction mapping principle [] is the first im- portant result on fixed points ... See full document

... of weakly contractive mappings for single valued maps on Hilbert spaces and proved the existence of fixed ...studied fixed point theory for weakly ... See full document

... ing fixed point theory for set-valued contractions, see ...of fixed point theorems not mentioned above extending the Banach’s ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone mappings in partially ordered ... See full document

... Fixed point theory has fascinated many mathematicians since  with the celebrated Ba- nach’s fixed point ...theorem. Fixed point theory plays a major role within as well as outside ... See full document

... and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge ...Presented theorems extend and ... See full document

... previous theorems without symmetry(quasi-metric space), we add a new condition for all x, y ∈ X d −1 (x, y) ≤ d −1 (x, T 2 y), without this condition we can’t prove our ... See full document