The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate
the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular …

In this study, we investigate the existence of a solution to the boundary value problem (BVP)
of variable‐order Caputo‐type fractional differential equation by converting it into an …

In this manuscript, the existence, uniqueness, and stability of solutions to the multiterm
boundary value problem of Caputo fractional differential equations of variable order are …

In this manuscript, we introduce orthogonal (τ, F_ ST)(τ, F ST)-contraction mappings in the
framework of orthogonal metric space and establish some sufficient conditions for the …

In this paper, we consider the notion of multivalued rational type F− contraction mappings
and prove fixed point theorems for this type mappings. Also we give an illustrative example …

In this paper, we introduce orthogonal multivalued contractions, which are based on the
recently introduced notion of orthogonality in the metric spaces. We construct numerous …

In this article, we propose some weaker orthogonal τ, FT− type of contraction mappings in
the setting of metric spaces endowed with an orthogonal relation, as well as certain sufficient …

This paper explores certain fixed point results for multivalued mapping in a metric space
endowed with an arbitrary binary relation $\mathrm {R} $, briefly written as $\mathrm {R} …

In this paper, we obtain some existence results for multivalued contraction mappings in the
context of an O-complete orthogonal metric space (not necessarily complete metric space) …

In this paper, an extended version of the method of minimizing an energy gap functional for
determining the optimal source points in the method of fundamental solutions (MFS) is …