4-Amino-3-methyl-1-phenyl-1H-thieno[2,3-c]pyrazole-5-carboxamide has been synthesized by an innovative method. The aminoamide derivative was gently refluxed with chloroacetyl chloride under neat conditions followed by neutralization with sodium carbonate solution to afford the chloromethyl pyrimidinone compound. The chloromethyl pyrimidinone derivative was converted to the thiol derivative by the
reaction with thiourea in ethanol. The thiol compound was alkylated with α-halocompounds such as ethyl chloroacetate, chloroacetone, phenacyl bromide and 2-chloro-4,6-dimethylnicotinonitrile to afford the corresponding S-alkylated compounds. The chemical structures of the newly synthesized compounds were elucidated on the basis of elemental and spectral analyses containing FT-IR, 1H-NMR, and mass spectroscopy.

4-Amino-3-methyl-1-phenyl-1H-thieno[2,3-c]pyrazole-5-carboxamide has been synthesized by an innovative method. The aminoamide derivative was gently refluxed with chloroacetyl chloride under neat conditions followed by neutralization with sodium carbonate solution to afford the chloromethyl pyrimidinone compound. The chloromethyl pyrimidinone derivative was converted to the thiol derivative by the
reaction with thiourea in ethanol. The thiol compound was alkylated with α-halocompounds such as ethyl chloroacetate, chloroacetone, phenacyl bromide and 2-chloro-4,6-dimethylnicotinonitrile to afford the corresponding S-alkylated compounds. The chemical structures of the newly synthesized compounds were elucidated on the basis of elemental and spectral analyses containing FT-IR, 1H-NMR, and mass spectroscopy.

The aim of this work is to obtain some existence and uniqueness fixed point theorems for mixed gmonotone
mapping in any number of variables under general contractive conditions in partially ordered metric
spaces by using the condition of weak compatibility. Our results are different, more natural and generalizations of many results on multidimensional fixed points. For illustration of the effectiveness of our generalizations, some examples are equipped in this paper

The aim of this work is to obtain some existence and uniqueness fixed point theorems for mixed gmonotone
mapping in any number of variables under general contractive conditions in partially ordered metric
spaces by using the condition of weak compatibility. Our results are different, more natural and generalizations of many results on multidimensional fixed points. For illustration of the effectiveness of our generalizations, some examples are equipped in this paper

The aim of this paper is to prove some common and coupled random xed point theorems for a pair
of weakly monotone random operators satisfying some rational type contraction in the setting of partially
ordered S-metric space. Our results extend and generalize many existing results in the literature. Moreover, an example is given to support our results. Finally, the results are used to prove the existence and uniqueness of solution of some random functional equations.

The aim of this paper is to prove some common and coupled random xed point theorems for a pair
of weakly monotone random operators satisfying some rational type contraction in the setting of partially
ordered S-metric space. Our results extend and generalize many existing results in the literature. Moreover, an example is given to support our results. Finally, the results are used to prove the existence and uniqueness of solution of some random functional equations.

In present paper we introduce the concepts of mixed g-monotone property and Delta g-symmetric
property, where g is single valued mapping, for multi-valued mapping under any number of
variables and use it to obtain some existence and uniqueness fixed points for hybrid pair of
mappings under general contractive conditions in partially ordered metric spaces. Our results are
generalizations of several results in this direction. We equipped this paper with examples in order
to illustrate the effectiveness of our generalizations.

In present paper we introduce the concepts of mixed g-monotone property and Delta g-symmetric
property, where g is single valued mapping, for multi-valued mapping under any number of
variables and use it to obtain some existence and uniqueness fixed points for hybrid pair of
mappings under general contractive conditions in partially ordered metric spaces. Our results are
generalizations of several results in this direction. We equipped this paper with examples in order
to illustrate the effectiveness of our generalizations.

In this paper, we introduce the notion of mixed weakly monotone property for two hybrid pairs (S, g) and (T, g) each of them consists of multi-valued mapping S or T: X^{n}-> CB(X) and single valued mapping g: X-> X defined on partially ordered metric space and then we prove coincidence and common fixed point theorems for two hybrid pairs under different contractive conditions. These theorems extend and generalize very recent results that can be found in [12] and many others.

In this paper, we introduce the notion of mixed weakly monotone property for two hybrid pairs (S, g) and (T, g) each of them consists of multi-valued mapping S or T: X^{n}-> CB(X) and single valued mapping g: X-> X defined on partially ordered metric space and then we prove coincidence and common fixed point theorems for two hybrid pairs under different contractive conditions. These theorems extend and generalize very recent results that can be found in [12] and many others.