In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings, as well. Our results  can be viewed as extension of the corresponding results in this area.  Moreover, some examples and an application to funct...

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The second author [3] proved two fixed point theorems involving more general contractive conditions. In this paper, we establish a general principle, which makes it possible to prove many fixed point theorems for a pair of maps of integral ty...

The terms of F?integral contraction as well (?,?˜,F,i)?integral are introduced. Fixed point and common fixed theorems established. For the mapping F we use only supposition that it is strictly increasing. As a consequence main obtain Jungck–Wardowski, Branciari–Wardowski Jungck–Branciari type results. Consequently, results presented in article enhance complement some known literature.

In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; follow derive some interesting as byproducts. Eventually, apply our solving Volterra integral equations and Caputo-Hadamard type fractional differential equations.

In this paper, we define \(\theta\)-\(\phi\)-contraction on a \(b\)-metric space into itself by extending \(\theta\)-\(\phi \)-contraction introduced Zheng {et al.} [D. W. Zheng, Z. Y. Cai, P. Wang, J. Nonlinear Sci. Appl., \(\bf 10\) (2017), 2662--2670] in metric and also, prove \(\theta \)-type theorem the setting of spaces as well framework \(b\)-rectangular spaces. Moreover, give some appli...

In this paper, we obtain the existence of unique solution anti-periodic type (anti-symmetry) integral multi-point boundary conditions for sequential fractional differential equations. We apply Banach contraction mapping principle to get desired results. Our results specialize and extend some existing