In this article, the notion of rational interpolative Meir-Keeler type contraction is discussed. The existence and uniqueness a fixed point for Das-Gupta are investigated. obtained results improve generalize existing on topic in recent literature.

In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.

In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce new type non-linear contraction namely cyclic Meir-Keeler contraction, which is generalization famous Banach contraction. show existence and uniqueness fixed point for Using this result, we propose IFS in literature construction fractals. Furthermore, extend...

In our paper, we propose two new iterative algorithms with Meir–Keeler contractions that are based on Tseng’s method, the multi-step inertial hybrid projection and shrinking method to solve a monotone variational inclusion problem in Hilbert spaces. The strong convergence of proposed is proven. Using results, can convex minimization problems.

We introduce the notions of the asymptotic SMK-sequence with respect to the stronger MeirKeeler cone-type mapping ξ : int P ∪ {θ} → 0, 1 and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping φ : int P ∪ {θ} → int P ∪ {θ} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone P . Our results general...